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Finding the Fourth Proportional to 1,875.16, 2,585.82 and 1,444.24

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Solution

The fourth proportional to 1,875.16, 2,585.82 and 1,444.24 is: 1,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.16 : 2,585.82 = 1,444.24 : x
  2. Step 2: Convert to fraction form
    1,875.16/2,585.82 = 1,444.24/x
  3. Step 3: Cross multiply
    1,875.16x = 2,585.82 × 1,444.24
  4. Step 4: Simplify right side
    1,875.16x = 3,734,544.68
  5. Step 5: Solve for x
    x = 3,734,544.68/1,875.16
  6. Step 6: Final answer
    x = 1,991.59

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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.