Home / 1,412.10-2,117.30-589.95

Finding the Fourth Proportional to 1,412.10, 2,117.30 and 589.95

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Solution

The fourth proportional to 1,412.10, 2,117.30 and 589.95 is: 884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.10 : 2,117.30 = 589.95 : x
  2. Step 2: Convert to fraction form
    1,412.10/2,117.30 = 589.95/x
  3. Step 3: Cross multiply
    1,412.10x = 2,117.30 × 589.95
  4. Step 4: Simplify right side
    1,412.10x = 1,249,098.19
  5. Step 5: Solve for x
    x = 1,249,098.19/1,412.10
  6. Step 6: Final answer
    x = 884.57

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Why These Related Problems?

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