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Finding the Fourth Proportional to 2,358.03, 3,538.37 and 972.39

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Solution

The fourth proportional to 2,358.03, 3,538.37 and 972.39 is: 1,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.03 : 3,538.37 = 972.39 : x
  2. Step 2: Convert to fraction form
    2,358.03/3,538.37 = 972.39/x
  3. Step 3: Cross multiply
    2,358.03x = 3,538.37 × 972.39
  4. Step 4: Simplify right side
    2,358.03x = 3,440,670.74
  5. Step 5: Solve for x
    x = 3,440,670.74/2,358.03
  6. Step 6: Final answer
    x = 1,459.13

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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.