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Finding the Fourth Proportional to 2,348.62, 3,239.49 and 1,464.10

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Solution

The fourth proportional to 2,348.62, 3,239.49 and 1,464.10 is: 2,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.62 : 3,239.49 = 1,464.10 : x
  2. Step 2: Convert to fraction form
    2,348.62/3,239.49 = 1,464.10/x
  3. Step 3: Cross multiply
    2,348.62x = 3,239.49 × 1,464.10
  4. Step 4: Simplify right side
    2,348.62x = 4,742,937.31
  5. Step 5: Solve for x
    x = 4,742,937.31/2,348.62
  6. Step 6: Final answer
    x = 2,019.46

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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.