Home / 1,461.07-2,015.25-1,412.86

Finding the Fourth Proportional to 1,461.07, 2,015.25 and 1,412.86

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Solution

The fourth proportional to 1,461.07, 2,015.25 and 1,412.86 is: 1,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.07 : 2,015.25 = 1,412.86 : x
  2. Step 2: Convert to fraction form
    1,461.07/2,015.25 = 1,412.86/x
  3. Step 3: Cross multiply
    1,461.07x = 2,015.25 × 1,412.86
  4. Step 4: Simplify right side
    1,461.07x = 2,847,266.12
  5. Step 5: Solve for x
    x = 2,847,266.12/1,461.07
  6. Step 6: Final answer
    x = 1,948.75

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Why These Related Problems?

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