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Finding the Fourth Proportional to 1,860.78, 2,565.57 and 1,563.19

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Solution

The fourth proportional to 1,860.78, 2,565.57 and 1,563.19 is: 2,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.78 : 2,565.57 = 1,563.19 : x
  2. Step 2: Convert to fraction form
    1,860.78/2,565.57 = 1,563.19/x
  3. Step 3: Cross multiply
    1,860.78x = 2,565.57 × 1,563.19
  4. Step 4: Simplify right side
    1,860.78x = 4,010,473.37
  5. Step 5: Solve for x
    x = 4,010,473.37/1,860.78
  6. Step 6: Final answer
    x = 2,155.26

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