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Finding the Fourth Proportional to 2,455.31, 3,681.54 and 992.72

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Solution

The fourth proportional to 2,455.31, 3,681.54 and 992.72 is: 1,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.31 : 3,681.54 = 992.72 : x
  2. Step 2: Convert to fraction form
    2,455.31/3,681.54 = 992.72/x
  3. Step 3: Cross multiply
    2,455.31x = 3,681.54 × 992.72
  4. Step 4: Simplify right side
    2,455.31x = 3,654,719.98
  5. Step 5: Solve for x
    x = 3,654,719.98/2,455.31
  6. Step 6: Final answer
    x = 1,488.50

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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.