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Finding the Fourth Proportional to 2,484.31, 3,727.95 and 924.05

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Solution

The fourth proportional to 2,484.31, 3,727.95 and 924.05 is: 1,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.31 : 3,727.95 = 924.05 : x
  2. Step 2: Convert to fraction form
    2,484.31/3,727.95 = 924.05/x
  3. Step 3: Cross multiply
    2,484.31x = 3,727.95 × 924.05
  4. Step 4: Simplify right side
    2,484.31x = 3,444,812.20
  5. Step 5: Solve for x
    x = 3,444,812.20/2,484.31
  6. Step 6: Final answer
    x = 1,386.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.