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Finding the Fourth Proportional to 1,377.48, 1,903.65 and 1,128.41

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Solution

The fourth proportional to 1,377.48, 1,903.65 and 1,128.41 is: 1,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.48 : 1,903.65 = 1,128.41 : x
  2. Step 2: Convert to fraction form
    1,377.48/1,903.65 = 1,128.41/x
  3. Step 3: Cross multiply
    1,377.48x = 1,903.65 × 1,128.41
  4. Step 4: Simplify right side
    1,377.48x = 2,148,088.18
  5. Step 5: Solve for x
    x = 2,148,088.18/1,377.48
  6. Step 6: Final answer
    x = 1,559.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.