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Finding the Fourth Proportional to 1,526.68, 2,106.87 and 863.65

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Solution

The fourth proportional to 1,526.68, 2,106.87 and 863.65 is: 1,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.68 : 2,106.87 = 863.65 : x
  2. Step 2: Convert to fraction form
    1,526.68/2,106.87 = 863.65/x
  3. Step 3: Cross multiply
    1,526.68x = 2,106.87 × 863.65
  4. Step 4: Simplify right side
    1,526.68x = 1,819,598.28
  5. Step 5: Solve for x
    x = 1,819,598.28/1,526.68
  6. Step 6: Final answer
    x = 1,191.87

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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.