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Finding the Fourth Proportional to 1,711.16, 2,553.63 and 1,526.63

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Solution

The fourth proportional to 1,711.16, 2,553.63 and 1,526.63 is: 2,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.16 : 2,553.63 = 1,526.63 : x
  2. Step 2: Convert to fraction form
    1,711.16/2,553.63 = 1,526.63/x
  3. Step 3: Cross multiply
    1,711.16x = 2,553.63 × 1,526.63
  4. Step 4: Simplify right side
    1,711.16x = 3,898,435.40
  5. Step 5: Solve for x
    x = 3,898,435.40/1,711.16
  6. Step 6: Final answer
    x = 2,278.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.