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Finding the Fourth Proportional to 1,737.54, 2,606.76 and 1,005.84

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Solution

The fourth proportional to 1,737.54, 2,606.76 and 1,005.84 is: 1,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.54 : 2,606.76 = 1,005.84 : x
  2. Step 2: Convert to fraction form
    1,737.54/2,606.76 = 1,005.84/x
  3. Step 3: Cross multiply
    1,737.54x = 2,606.76 × 1,005.84
  4. Step 4: Simplify right side
    1,737.54x = 2,621,983.48
  5. Step 5: Solve for x
    x = 2,621,983.48/1,737.54
  6. Step 6: Final answer
    x = 1,509.02

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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.