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Finding the Fourth Proportional to 2,312.17, 3,467.54 and 924.77

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Solution

The fourth proportional to 2,312.17, 3,467.54 and 924.77 is: 1,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.17 : 3,467.54 = 924.77 : x
  2. Step 2: Convert to fraction form
    2,312.17/3,467.54 = 924.77/x
  3. Step 3: Cross multiply
    2,312.17x = 3,467.54 × 924.77
  4. Step 4: Simplify right side
    2,312.17x = 3,206,687.95
  5. Step 5: Solve for x
    x = 3,206,687.95/2,312.17
  6. Step 6: Final answer
    x = 1,386.88

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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.