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Finding the Fourth Proportional to 1,756.95, 2,637.02 and 935.92

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Solution

The fourth proportional to 1,756.95, 2,637.02 and 935.92 is: 1,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.95 : 2,637.02 = 935.92 : x
  2. Step 2: Convert to fraction form
    1,756.95/2,637.02 = 935.92/x
  3. Step 3: Cross multiply
    1,756.95x = 2,637.02 × 935.92
  4. Step 4: Simplify right side
    1,756.95x = 2,468,039.76
  5. Step 5: Solve for x
    x = 2,468,039.76/1,756.95
  6. Step 6: Final answer
    x = 1,404.73

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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.