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Finding the Fourth Proportional to 2,102.55, 2,901.23 and 1,306.05

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Solution

The fourth proportional to 2,102.55, 2,901.23 and 1,306.05 is: 1,802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.55 : 2,901.23 = 1,306.05 : x
  2. Step 2: Convert to fraction form
    2,102.55/2,901.23 = 1,306.05/x
  3. Step 3: Cross multiply
    2,102.55x = 2,901.23 × 1,306.05
  4. Step 4: Simplify right side
    2,102.55x = 3,789,144.91
  5. Step 5: Solve for x
    x = 3,789,144.91/2,102.55
  6. Step 6: Final answer
    x = 1,802.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.