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Finding the Fourth Proportional to 1,585.44, 2,359.44 and 1,527.12

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Solution

The fourth proportional to 1,585.44, 2,359.44 and 1,527.12 is: 2,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.44 : 2,359.44 = 1,527.12 : x
  2. Step 2: Convert to fraction form
    1,585.44/2,359.44 = 1,527.12/x
  3. Step 3: Cross multiply
    1,585.44x = 2,359.44 × 1,527.12
  4. Step 4: Simplify right side
    1,585.44x = 3,603,148.01
  5. Step 5: Solve for x
    x = 3,603,148.01/1,585.44
  6. Step 6: Final answer
    x = 2,272.65

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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.