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Finding the Fourth Proportional to 2,139.10, 2,987.45 and 2,139.10

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Solution

The fourth proportional to 2,139.10, 2,987.45 and 2,139.10 is: 2,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.10 : 2,987.45 = 2,139.10 : x
  2. Step 2: Convert to fraction form
    2,139.10/2,987.45 = 2,139.10/x
  3. Step 3: Cross multiply
    2,139.10x = 2,987.45 × 2,139.10
  4. Step 4: Simplify right side
    2,139.10x = 6,390,454.30
  5. Step 5: Solve for x
    x = 6,390,454.30/2,139.10
  6. Step 6: Final answer
    x = 2,987.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.