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Finding the Fourth Proportional to 2,158.16, 3,237.24 and 924.77

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Solution

The fourth proportional to 2,158.16, 3,237.24 and 924.77 is: 1,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.16 : 3,237.24 = 924.77 : x
  2. Step 2: Convert to fraction form
    2,158.16/3,237.24 = 924.77/x
  3. Step 3: Cross multiply
    2,158.16x = 3,237.24 × 924.77
  4. Step 4: Simplify right side
    2,158.16x = 2,993,710.53
  5. Step 5: Solve for x
    x = 2,993,710.53/2,158.16
  6. Step 6: Final answer
    x = 1,387.16

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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.