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Finding the Fourth Proportional to 3,088.62, 4,262.54 and 1,762.74

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Solution

The fourth proportional to 3,088.62, 4,262.54 and 1,762.74 is: 2,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.62 : 4,262.54 = 1,762.74 : x
  2. Step 2: Convert to fraction form
    3,088.62/4,262.54 = 1,762.74/x
  3. Step 3: Cross multiply
    3,088.62x = 4,262.54 × 1,762.74
  4. Step 4: Simplify right side
    3,088.62x = 7,513,740.95
  5. Step 5: Solve for x
    x = 7,513,740.95/3,088.62
  6. Step 6: Final answer
    x = 2,432.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.