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Finding the Fourth Proportional to 1,860.87, 2,567.88 and 1,064.28

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Solution

The fourth proportional to 1,860.87, 2,567.88 and 1,064.28 is: 1,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.87 : 2,567.88 = 1,064.28 : x
  2. Step 2: Convert to fraction form
    1,860.87/2,567.88 = 1,064.28/x
  3. Step 3: Cross multiply
    1,860.87x = 2,567.88 × 1,064.28
  4. Step 4: Simplify right side
    1,860.87x = 2,732,943.33
  5. Step 5: Solve for x
    x = 2,732,943.33/1,860.87
  6. Step 6: Final answer
    x = 1,468.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.