Home / 1,411.24-2,117.32-589.75

Finding the Fourth Proportional to 1,411.24, 2,117.32 and 589.75

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Solution

The fourth proportional to 1,411.24, 2,117.32 and 589.75 is: 884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.24 : 2,117.32 = 589.75 : x
  2. Step 2: Convert to fraction form
    1,411.24/2,117.32 = 589.75/x
  3. Step 3: Cross multiply
    1,411.24x = 2,117.32 × 589.75
  4. Step 4: Simplify right side
    1,411.24x = 1,248,686.02
  5. Step 5: Solve for x
    x = 1,248,686.02/1,411.24
  6. Step 6: Final answer
    x = 884.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.