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Finding the Fourth Proportional to 2,355.69, 3,531.70 and 1,056.25

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Solution

The fourth proportional to 2,355.69, 3,531.70 and 1,056.25 is: 1,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.69 : 3,531.70 = 1,056.25 : x
  2. Step 2: Convert to fraction form
    2,355.69/3,531.70 = 1,056.25/x
  3. Step 3: Cross multiply
    2,355.69x = 3,531.70 × 1,056.25
  4. Step 4: Simplify right side
    2,355.69x = 3,730,358.13
  5. Step 5: Solve for x
    x = 3,730,358.13/2,355.69
  6. Step 6: Final answer
    x = 1,583.55

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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.