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Finding the Fourth Proportional to 2,506.59, 3,739.48 and 2,442.15

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Solution

The fourth proportional to 2,506.59, 3,739.48 and 2,442.15 is: 3,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.59 : 3,739.48 = 2,442.15 : x
  2. Step 2: Convert to fraction form
    2,506.59/3,739.48 = 2,442.15/x
  3. Step 3: Cross multiply
    2,506.59x = 3,739.48 × 2,442.15
  4. Step 4: Simplify right side
    2,506.59x = 9,132,364.98
  5. Step 5: Solve for x
    x = 9,132,364.98/2,506.59
  6. Step 6: Final answer
    x = 3,643.34

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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.