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Finding the Fourth Proportional to 2,465.47, 3,699.31 and 1,340.08

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Solution

The fourth proportional to 2,465.47, 3,699.31 and 1,340.08 is: 2,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.47 : 3,699.31 = 1,340.08 : x
  2. Step 2: Convert to fraction form
    2,465.47/3,699.31 = 1,340.08/x
  3. Step 3: Cross multiply
    2,465.47x = 3,699.31 × 1,340.08
  4. Step 4: Simplify right side
    2,465.47x = 4,957,371.34
  5. Step 5: Solve for x
    x = 4,957,371.34/2,465.47
  6. Step 6: Final answer
    x = 2,010.72

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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.