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Finding the Fourth Proportional to 2,102.29, 2,901.10 and 1,158.10

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Solution

The fourth proportional to 2,102.29, 2,901.10 and 1,158.10 is: 1,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.29 : 2,901.10 = 1,158.10 : x
  2. Step 2: Convert to fraction form
    2,102.29/2,901.10 = 1,158.10/x
  3. Step 3: Cross multiply
    2,102.29x = 2,901.10 × 1,158.10
  4. Step 4: Simplify right side
    2,102.29x = 3,359,763.91
  5. Step 5: Solve for x
    x = 3,359,763.91/2,102.29
  6. Step 6: Final answer
    x = 1,598.14

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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.