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Finding the Fourth Proportional to 1,904.52, 2,854.35 and 807.78

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Solution

The fourth proportional to 1,904.52, 2,854.35 and 807.78 is: 1,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.52 : 2,854.35 = 807.78 : x
  2. Step 2: Convert to fraction form
    1,904.52/2,854.35 = 807.78/x
  3. Step 3: Cross multiply
    1,904.52x = 2,854.35 × 807.78
  4. Step 4: Simplify right side
    1,904.52x = 2,305,686.84
  5. Step 5: Solve for x
    x = 2,305,686.84/1,904.52
  6. Step 6: Final answer
    x = 1,210.64

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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.