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Finding the Fourth Proportional to 2,355.55, 3,534.03 and 712.15

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Solution

The fourth proportional to 2,355.55, 3,534.03 and 712.15 is: 1,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.55 : 3,534.03 = 712.15 : x
  2. Step 2: Convert to fraction form
    2,355.55/3,534.03 = 712.15/x
  3. Step 3: Cross multiply
    2,355.55x = 3,534.03 × 712.15
  4. Step 4: Simplify right side
    2,355.55x = 2,516,759.46
  5. Step 5: Solve for x
    x = 2,516,759.46/2,355.55
  6. Step 6: Final answer
    x = 1,068.44

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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.