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Finding the Fourth Proportional to 2,353.47, 3,530.24 and 710.09

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Solution

The fourth proportional to 2,353.47, 3,530.24 and 710.09 is: 1,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.47 : 3,530.24 = 710.09 : x
  2. Step 2: Convert to fraction form
    2,353.47/3,530.24 = 710.09/x
  3. Step 3: Cross multiply
    2,353.47x = 3,530.24 × 710.09
  4. Step 4: Simplify right side
    2,353.47x = 2,506,793.25
  5. Step 5: Solve for x
    x = 2,506,793.25/2,353.47
  6. Step 6: Final answer
    x = 1,065.15

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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.