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Finding the Fourth Proportional to 1,617.12, 2,423.64 and 924.36

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Solution

The fourth proportional to 1,617.12, 2,423.64 and 924.36 is: 1,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.12 : 2,423.64 = 924.36 : x
  2. Step 2: Convert to fraction form
    1,617.12/2,423.64 = 924.36/x
  3. Step 3: Cross multiply
    1,617.12x = 2,423.64 × 924.36
  4. Step 4: Simplify right side
    1,617.12x = 2,240,315.87
  5. Step 5: Solve for x
    x = 2,240,315.87/1,617.12
  6. Step 6: Final answer
    x = 1,385.37

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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.