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Finding the Fourth Proportional to 1,737.68, 2,398.01 and 991.67

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Solution

The fourth proportional to 1,737.68, 2,398.01 and 991.67 is: 1,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.68 : 2,398.01 = 991.67 : x
  2. Step 2: Convert to fraction form
    1,737.68/2,398.01 = 991.67/x
  3. Step 3: Cross multiply
    1,737.68x = 2,398.01 × 991.67
  4. Step 4: Simplify right side
    1,737.68x = 2,378,017.63
  5. Step 5: Solve for x
    x = 2,378,017.63/1,737.68
  6. Step 6: Final answer
    x = 1,368.51

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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.