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Finding the Fourth Proportional to 2,569.32, 3,852.60 and 924.96

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Solution

The fourth proportional to 2,569.32, 3,852.60 and 924.96 is: 1,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.32 : 3,852.60 = 924.96 : x
  2. Step 2: Convert to fraction form
    2,569.32/3,852.60 = 924.96/x
  3. Step 3: Cross multiply
    2,569.32x = 3,852.60 × 924.96
  4. Step 4: Simplify right side
    2,569.32x = 3,563,500.90
  5. Step 5: Solve for x
    x = 3,563,500.90/2,569.32
  6. Step 6: Final answer
    x = 1,386.94

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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.