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Finding the Fourth Proportional to 2,875.04, 4,314.14 and 1,414.20

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Solution

The fourth proportional to 2,875.04, 4,314.14 and 1,414.20 is: 2,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.04 : 4,314.14 = 1,414.20 : x
  2. Step 2: Convert to fraction form
    2,875.04/4,314.14 = 1,414.20/x
  3. Step 3: Cross multiply
    2,875.04x = 4,314.14 × 1,414.20
  4. Step 4: Simplify right side
    2,875.04x = 6,101,056.79
  5. Step 5: Solve for x
    x = 6,101,056.79/2,875.04
  6. Step 6: Final answer
    x = 2,122.08

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Why These Related Problems?

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