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Finding the Fourth Proportional to 1,404.12, 1,938.59 and 1,256.50

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Solution

The fourth proportional to 1,404.12, 1,938.59 and 1,256.50 is: 1,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.12 : 1,938.59 = 1,256.50 : x
  2. Step 2: Convert to fraction form
    1,404.12/1,938.59 = 1,256.50/x
  3. Step 3: Cross multiply
    1,404.12x = 1,938.59 × 1,256.50
  4. Step 4: Simplify right side
    1,404.12x = 2,435,838.34
  5. Step 5: Solve for x
    x = 2,435,838.34/1,404.12
  6. Step 6: Final answer
    x = 1,734.78

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