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Finding the Fourth Proportional to 1,569.41, 2,353.71 and 746.05

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Solution

The fourth proportional to 1,569.41, 2,353.71 and 746.05 is: 1,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.41 : 2,353.71 = 746.05 : x
  2. Step 2: Convert to fraction form
    1,569.41/2,353.71 = 746.05/x
  3. Step 3: Cross multiply
    1,569.41x = 2,353.71 × 746.05
  4. Step 4: Simplify right side
    1,569.41x = 1,755,985.35
  5. Step 5: Solve for x
    x = 1,755,985.35/1,569.41
  6. Step 6: Final answer
    x = 1,118.88

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