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Finding the Fourth Proportional to 2,527, 3,486.72 and 1,532.08

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Solution

The fourth proportional to 2,527, 3,486.72 and 1,532.08 is: 2,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527 : 3,486.72 = 1,532.08 : x
  2. Step 2: Convert to fraction form
    2,527/3,486.72 = 1,532.08/x
  3. Step 3: Cross multiply
    2,527x = 3,486.72 × 1,532.08
  4. Step 4: Simplify right side
    2,527x = 5,341,933.98
  5. Step 5: Solve for x
    x = 5,341,933.98/2,527
  6. Step 6: Final answer
    x = 2,113.94

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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.