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Finding the Fourth Proportional to 2,139.78, 3,210.12 and 1,475.52

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Solution

The fourth proportional to 2,139.78, 3,210.12 and 1,475.52 is: 2,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.78 : 3,210.12 = 1,475.52 : x
  2. Step 2: Convert to fraction form
    2,139.78/3,210.12 = 1,475.52/x
  3. Step 3: Cross multiply
    2,139.78x = 3,210.12 × 1,475.52
  4. Step 4: Simplify right side
    2,139.78x = 4,736,596.26
  5. Step 5: Solve for x
    x = 4,736,596.26/2,139.78
  6. Step 6: Final answer
    x = 2,213.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.