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Finding the Fourth Proportional to 2,360.86, 3,538.23 and 972.58

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Solution

The fourth proportional to 2,360.86, 3,538.23 and 972.58 is: 1,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.86 : 3,538.23 = 972.58 : x
  2. Step 2: Convert to fraction form
    2,360.86/3,538.23 = 972.58/x
  3. Step 3: Cross multiply
    2,360.86x = 3,538.23 × 972.58
  4. Step 4: Simplify right side
    2,360.86x = 3,441,211.73
  5. Step 5: Solve for x
    x = 3,441,211.73/2,360.86
  6. Step 6: Final answer
    x = 1,457.61

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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.