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Finding the Fourth Proportional to 1,868.84, 2,801.64 and 1,292.12

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Solution

The fourth proportional to 1,868.84, 2,801.64 and 1,292.12 is: 1,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.84 : 2,801.64 = 1,292.12 : x
  2. Step 2: Convert to fraction form
    1,868.84/2,801.64 = 1,292.12/x
  3. Step 3: Cross multiply
    1,868.84x = 2,801.64 × 1,292.12
  4. Step 4: Simplify right side
    1,868.84x = 3,620,055.08
  5. Step 5: Solve for x
    x = 3,620,055.08/1,868.84
  6. Step 6: Final answer
    x = 1,937.06

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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.