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Finding the Fourth Proportional to 4,703.46, 7,054.29 and 1,780.80

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Solution

The fourth proportional to 4,703.46, 7,054.29 and 1,780.80 is: 2,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.46 : 7,054.29 = 1,780.80 : x
  2. Step 2: Convert to fraction form
    4,703.46/7,054.29 = 1,780.80/x
  3. Step 3: Cross multiply
    4,703.46x = 7,054.29 × 1,780.80
  4. Step 4: Simplify right side
    4,703.46x = 12,562,279.63
  5. Step 5: Solve for x
    x = 12,562,279.63/4,703.46
  6. Step 6: Final answer
    x = 2,670.86

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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.