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Finding the Fourth Proportional to 1,594.59, 2,373.96 and 1,586.87

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Solution

The fourth proportional to 1,594.59, 2,373.96 and 1,586.87 is: 2,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.59 : 2,373.96 = 1,586.87 : x
  2. Step 2: Convert to fraction form
    1,594.59/2,373.96 = 1,586.87/x
  3. Step 3: Cross multiply
    1,594.59x = 2,373.96 × 1,586.87
  4. Step 4: Simplify right side
    1,594.59x = 3,767,154.04
  5. Step 5: Solve for x
    x = 3,767,154.04/1,594.59
  6. Step 6: Final answer
    x = 2,362.46

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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.