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Finding the Fourth Proportional to 1,592.63, 2,377.11 and 1,356.84

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Solution

The fourth proportional to 1,592.63, 2,377.11 and 1,356.84 is: 2,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.63 : 2,377.11 = 1,356.84 : x
  2. Step 2: Convert to fraction form
    1,592.63/2,377.11 = 1,356.84/x
  3. Step 3: Cross multiply
    1,592.63x = 2,377.11 × 1,356.84
  4. Step 4: Simplify right side
    1,592.63x = 3,225,357.93
  5. Step 5: Solve for x
    x = 3,225,357.93/1,592.63
  6. Step 6: Final answer
    x = 2,025.18

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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.