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Finding the Fourth Proportional to 1,875.92, 2,587.43 and 1,433.06

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Solution

The fourth proportional to 1,875.92, 2,587.43 and 1,433.06 is: 1,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.92 : 2,587.43 = 1,433.06 : x
  2. Step 2: Convert to fraction form
    1,875.92/2,587.43 = 1,433.06/x
  3. Step 3: Cross multiply
    1,875.92x = 2,587.43 × 1,433.06
  4. Step 4: Simplify right side
    1,875.92x = 3,707,933.08
  5. Step 5: Solve for x
    x = 3,707,933.08/1,875.92
  6. Step 6: Final answer
    x = 1,976.59

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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.