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Finding the Fourth Proportional to 2,424.60, 3,346.08 and 1,834.08

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Solution

The fourth proportional to 2,424.60, 3,346.08 and 1,834.08 is: 2,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.60 : 3,346.08 = 1,834.08 : x
  2. Step 2: Convert to fraction form
    2,424.60/3,346.08 = 1,834.08/x
  3. Step 3: Cross multiply
    2,424.60x = 3,346.08 × 1,834.08
  4. Step 4: Simplify right side
    2,424.60x = 6,136,978.41
  5. Step 5: Solve for x
    x = 6,136,978.41/2,424.60
  6. Step 6: Final answer
    x = 2,531.13

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Why These Related Problems?

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