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Finding the Fourth Proportional to 1,860.31, 2,565.88 and 1,580.10

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Solution

The fourth proportional to 1,860.31, 2,565.88 and 1,580.10 is: 2,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.31 : 2,565.88 = 1,580.10 : x
  2. Step 2: Convert to fraction form
    1,860.31/2,565.88 = 1,580.10/x
  3. Step 3: Cross multiply
    1,860.31x = 2,565.88 × 1,580.10
  4. Step 4: Simplify right side
    1,860.31x = 4,054,346.99
  5. Step 5: Solve for x
    x = 4,054,346.99/1,860.31
  6. Step 6: Final answer
    x = 2,179.39

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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.