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Finding the Fourth Proportional to 2,398.98, 3,577.04 and 2,395.74

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Solution

The fourth proportional to 2,398.98, 3,577.04 and 2,395.74 is: 3,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.98 : 3,577.04 = 2,395.74 : x
  2. Step 2: Convert to fraction form
    2,398.98/3,577.04 = 2,395.74/x
  3. Step 3: Cross multiply
    2,398.98x = 3,577.04 × 2,395.74
  4. Step 4: Simplify right side
    2,398.98x = 8,569,645.83
  5. Step 5: Solve for x
    x = 8,569,645.83/2,398.98
  6. Step 6: Final answer
    x = 3,572.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.