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Finding the Fourth Proportional to 1,866.04, 2,799.06 and 567.44

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Solution

The fourth proportional to 1,866.04, 2,799.06 and 567.44 is: 851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.04 : 2,799.06 = 567.44 : x
  2. Step 2: Convert to fraction form
    1,866.04/2,799.06 = 567.44/x
  3. Step 3: Cross multiply
    1,866.04x = 2,799.06 × 567.44
  4. Step 4: Simplify right side
    1,866.04x = 1,588,298.61
  5. Step 5: Solve for x
    x = 1,588,298.61/1,866.04
  6. Step 6: Final answer
    x = 851.16

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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.