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Finding the Fourth Proportional to 1,907.97, 2,862.14 and 591.74

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Solution

The fourth proportional to 1,907.97, 2,862.14 and 591.74 is: 887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.97 : 2,862.14 = 591.74 : x
  2. Step 2: Convert to fraction form
    1,907.97/2,862.14 = 591.74/x
  3. Step 3: Cross multiply
    1,907.97x = 2,862.14 × 591.74
  4. Step 4: Simplify right side
    1,907.97x = 1,693,625.45
  5. Step 5: Solve for x
    x = 1,693,625.45/1,907.97
  6. Step 6: Final answer
    x = 887.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.