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Finding the Fourth Proportional to 2,569.70, 3,854.55 and 1,403.30

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Solution

The fourth proportional to 2,569.70, 3,854.55 and 1,403.30 is: 2,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.70 : 3,854.55 = 1,403.30 : x
  2. Step 2: Convert to fraction form
    2,569.70/3,854.55 = 1,403.30/x
  3. Step 3: Cross multiply
    2,569.70x = 3,854.55 × 1,403.30
  4. Step 4: Simplify right side
    2,569.70x = 5,409,090.02
  5. Step 5: Solve for x
    x = 5,409,090.02/2,569.70
  6. Step 6: Final answer
    x = 2,104.95

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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.