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Finding the Fourth Proportional to 2,358.35, 3,538.67 and 972.10

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Solution

The fourth proportional to 2,358.35, 3,538.67 and 972.10 is: 1,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.35 : 3,538.67 = 972.10 : x
  2. Step 2: Convert to fraction form
    2,358.35/3,538.67 = 972.10/x
  3. Step 3: Cross multiply
    2,358.35x = 3,538.67 × 972.10
  4. Step 4: Simplify right side
    2,358.35x = 3,439,941.11
  5. Step 5: Solve for x
    x = 3,439,941.11/2,358.35
  6. Step 6: Final answer
    x = 1,458.62

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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.