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Finding the Fourth Proportional to 1,907.76, 2,859.66 and 981.26

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Solution

The fourth proportional to 1,907.76, 2,859.66 and 981.26 is: 1,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.76 : 2,859.66 = 981.26 : x
  2. Step 2: Convert to fraction form
    1,907.76/2,859.66 = 981.26/x
  3. Step 3: Cross multiply
    1,907.76x = 2,859.66 × 981.26
  4. Step 4: Simplify right side
    1,907.76x = 2,806,069.97
  5. Step 5: Solve for x
    x = 2,806,069.97/1,907.76
  6. Step 6: Final answer
    x = 1,470.87

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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.