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Finding the Fourth Proportional to 2,569.34, 3,851.69 and 924.73

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Solution

The fourth proportional to 2,569.34, 3,851.69 and 924.73 is: 1,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.34 : 3,851.69 = 924.73 : x
  2. Step 2: Convert to fraction form
    2,569.34/3,851.69 = 924.73/x
  3. Step 3: Cross multiply
    2,569.34x = 3,851.69 × 924.73
  4. Step 4: Simplify right side
    2,569.34x = 3,561,749.41
  5. Step 5: Solve for x
    x = 3,561,749.41/2,569.34
  6. Step 6: Final answer
    x = 1,386.25

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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.