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Finding the Fourth Proportional to 2,532.40, 3,494.60 and 1,869.01

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Solution

The fourth proportional to 2,532.40, 3,494.60 and 1,869.01 is: 2,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.40 : 3,494.60 = 1,869.01 : x
  2. Step 2: Convert to fraction form
    2,532.40/3,494.60 = 1,869.01/x
  3. Step 3: Cross multiply
    2,532.40x = 3,494.60 × 1,869.01
  4. Step 4: Simplify right side
    2,532.40x = 6,531,442.35
  5. Step 5: Solve for x
    x = 6,531,442.35/2,532.40
  6. Step 6: Final answer
    x = 2,579.15

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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.