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Finding the Fourth Proportional to 2,473.40, 3,409.12 and 1,875.68

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Solution

The fourth proportional to 2,473.40, 3,409.12 and 1,875.68 is: 2,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.40 : 3,409.12 = 1,875.68 : x
  2. Step 2: Convert to fraction form
    2,473.40/3,409.12 = 1,875.68/x
  3. Step 3: Cross multiply
    2,473.40x = 3,409.12 × 1,875.68
  4. Step 4: Simplify right side
    2,473.40x = 6,394,418.20
  5. Step 5: Solve for x
    x = 6,394,418.20/2,473.40
  6. Step 6: Final answer
    x = 2,585.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.