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Finding the Fourth Proportional to 4,681.76, 7,023.84 and 1,760.90

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Solution

The fourth proportional to 4,681.76, 7,023.84 and 1,760.90 is: 2,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.76 : 7,023.84 = 1,760.90 : x
  2. Step 2: Convert to fraction form
    4,681.76/7,023.84 = 1,760.90/x
  3. Step 3: Cross multiply
    4,681.76x = 7,023.84 × 1,760.90
  4. Step 4: Simplify right side
    4,681.76x = 12,368,279.86
  5. Step 5: Solve for x
    x = 12,368,279.86/4,681.76
  6. Step 6: Final answer
    x = 2,641.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.