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Finding the Fourth Proportional to 2,484.34, 3,726.51 and 924.28

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Solution

The fourth proportional to 2,484.34, 3,726.51 and 924.28 is: 1,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.34 : 3,726.51 = 924.28 : x
  2. Step 2: Convert to fraction form
    2,484.34/3,726.51 = 924.28/x
  3. Step 3: Cross multiply
    2,484.34x = 3,726.51 × 924.28
  4. Step 4: Simplify right side
    2,484.34x = 3,444,338.66
  5. Step 5: Solve for x
    x = 3,444,338.66/2,484.34
  6. Step 6: Final answer
    x = 1,386.42

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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.