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Finding the Fourth Proportional to 1,877.26, 2,590.64 and 1,037.95

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Solution

The fourth proportional to 1,877.26, 2,590.64 and 1,037.95 is: 1,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.26 : 2,590.64 = 1,037.95 : x
  2. Step 2: Convert to fraction form
    1,877.26/2,590.64 = 1,037.95/x
  3. Step 3: Cross multiply
    1,877.26x = 2,590.64 × 1,037.95
  4. Step 4: Simplify right side
    1,877.26x = 2,688,954.79
  5. Step 5: Solve for x
    x = 2,688,954.79/1,877.26
  6. Step 6: Final answer
    x = 1,432.38

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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.