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Finding the Fourth Proportional to 1,401.87, 2,102.57 and 632.19

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Solution

The fourth proportional to 1,401.87, 2,102.57 and 632.19 is: 948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.87 : 2,102.57 = 632.19 : x
  2. Step 2: Convert to fraction form
    1,401.87/2,102.57 = 632.19/x
  3. Step 3: Cross multiply
    1,401.87x = 2,102.57 × 632.19
  4. Step 4: Simplify right side
    1,401.87x = 1,329,220.57
  5. Step 5: Solve for x
    x = 1,329,220.57/1,401.87
  6. Step 6: Final answer
    x = 948.18

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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.