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Finding the Fourth Proportional to 1,737.75, 2,604.15 and 1,248.51

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Solution

The fourth proportional to 1,737.75, 2,604.15 and 1,248.51 is: 1,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.75 : 2,604.15 = 1,248.51 : x
  2. Step 2: Convert to fraction form
    1,737.75/2,604.15 = 1,248.51/x
  3. Step 3: Cross multiply
    1,737.75x = 2,604.15 × 1,248.51
  4. Step 4: Simplify right side
    1,737.75x = 3,251,307.32
  5. Step 5: Solve for x
    x = 3,251,307.32/1,737.75
  6. Step 6: Final answer
    x = 1,870.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.