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Finding the Fourth Proportional to 1,586.16, 2,188.53 and 956.52

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Solution

The fourth proportional to 1,586.16, 2,188.53 and 956.52 is: 1,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.16 : 2,188.53 = 956.52 : x
  2. Step 2: Convert to fraction form
    1,586.16/2,188.53 = 956.52/x
  3. Step 3: Cross multiply
    1,586.16x = 2,188.53 × 956.52
  4. Step 4: Simplify right side
    1,586.16x = 2,093,372.72
  5. Step 5: Solve for x
    x = 2,093,372.72/1,586.16
  6. Step 6: Final answer
    x = 1,319.77

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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.