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Finding the Fourth Proportional to 1,586.24, 2,377.24 and 856.32

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Solution

The fourth proportional to 1,586.24, 2,377.24 and 856.32 is: 1,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.24 : 2,377.24 = 856.32 : x
  2. Step 2: Convert to fraction form
    1,586.24/2,377.24 = 856.32/x
  3. Step 3: Cross multiply
    1,586.24x = 2,377.24 × 856.32
  4. Step 4: Simplify right side
    1,586.24x = 2,035,678.16
  5. Step 5: Solve for x
    x = 2,035,678.16/1,586.24
  6. Step 6: Final answer
    x = 1,283.34

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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.