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Finding the Fourth Proportional to 2,569.58, 3,854.60 and 926.29

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Solution

The fourth proportional to 2,569.58, 3,854.60 and 926.29 is: 1,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.58 : 3,854.60 = 926.29 : x
  2. Step 2: Convert to fraction form
    2,569.58/3,854.60 = 926.29/x
  3. Step 3: Cross multiply
    2,569.58x = 3,854.60 × 926.29
  4. Step 4: Simplify right side
    2,569.58x = 3,570,477.43
  5. Step 5: Solve for x
    x = 3,570,477.43/2,569.58
  6. Step 6: Final answer
    x = 1,389.52

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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.