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Finding the Fourth Proportional to 1,983.48, 2,737.48 and 1,510.71

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Solution

The fourth proportional to 1,983.48, 2,737.48 and 1,510.71 is: 2,084.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.48 : 2,737.48 = 1,510.71 : x
  2. Step 2: Convert to fraction form
    1,983.48/2,737.48 = 1,510.71/x
  3. Step 3: Cross multiply
    1,983.48x = 2,737.48 × 1,510.71
  4. Step 4: Simplify right side
    1,983.48x = 4,135,538.41
  5. Step 5: Solve for x
    x = 4,135,538.41/1,983.48
  6. Step 6: Final answer
    x = 2,084.99

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1.5x scale

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.