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Finding the Fourth Proportional to 1,602.59, 2,393.70 and 1,256.31

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Solution

The fourth proportional to 1,602.59, 2,393.70 and 1,256.31 is: 1,876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.59 : 2,393.70 = 1,256.31 : x
  2. Step 2: Convert to fraction form
    1,602.59/2,393.70 = 1,256.31/x
  3. Step 3: Cross multiply
    1,602.59x = 2,393.70 × 1,256.31
  4. Step 4: Simplify right side
    1,602.59x = 3,007,231.60
  5. Step 5: Solve for x
    x = 3,007,231.60/1,602.59
  6. Step 6: Final answer
    x = 1,876.49

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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.