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Finding the Fourth Proportional to 1,737.64, 2,606.77 and 750.46

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Solution

The fourth proportional to 1,737.64, 2,606.77 and 750.46 is: 1,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.64 : 2,606.77 = 750.46 : x
  2. Step 2: Convert to fraction form
    1,737.64/2,606.77 = 750.46/x
  3. Step 3: Cross multiply
    1,737.64x = 2,606.77 × 750.46
  4. Step 4: Simplify right side
    1,737.64x = 1,956,259.83
  5. Step 5: Solve for x
    x = 1,956,259.83/1,737.64
  6. Step 6: Final answer
    x = 1,125.81

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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.