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Finding the Fourth Proportional to 2,397.57, 3,308.67 and 1,466.07

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Solution

The fourth proportional to 2,397.57, 3,308.67 and 1,466.07 is: 2,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.57 : 3,308.67 = 1,466.07 : x
  2. Step 2: Convert to fraction form
    2,397.57/3,308.67 = 1,466.07/x
  3. Step 3: Cross multiply
    2,397.57x = 3,308.67 × 1,466.07
  4. Step 4: Simplify right side
    2,397.57x = 4,850,741.83
  5. Step 5: Solve for x
    x = 4,850,741.83/2,397.57
  6. Step 6: Final answer
    x = 2,023.19

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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.