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Finding the Fourth Proportional to 1,586.32, 2,378.26 and 970.32

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Solution

The fourth proportional to 1,586.32, 2,378.26 and 970.32 is: 1,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.32 : 2,378.26 = 970.32 : x
  2. Step 2: Convert to fraction form
    1,586.32/2,378.26 = 970.32/x
  3. Step 3: Cross multiply
    1,586.32x = 2,378.26 × 970.32
  4. Step 4: Simplify right side
    1,586.32x = 2,307,673.24
  5. Step 5: Solve for x
    x = 2,307,673.24/1,586.32
  6. Step 6: Final answer
    x = 1,454.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.