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Finding the Fourth Proportional to 1,402.70, 2,100.99 and 1,156.46

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Solution

The fourth proportional to 1,402.70, 2,100.99 and 1,156.46 is: 1,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.70 : 2,100.99 = 1,156.46 : x
  2. Step 2: Convert to fraction form
    1,402.70/2,100.99 = 1,156.46/x
  3. Step 3: Cross multiply
    1,402.70x = 2,100.99 × 1,156.46
  4. Step 4: Simplify right side
    1,402.70x = 2,429,710.90
  5. Step 5: Solve for x
    x = 2,429,710.90/1,402.70
  6. Step 6: Final answer
    x = 1,732.17

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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.