Home / 1,514.10-2,271.15-785.10

Finding the Fourth Proportional to 1,514.10, 2,271.15 and 785.10

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Solution

The fourth proportional to 1,514.10, 2,271.15 and 785.10 is: 1,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.10 : 2,271.15 = 785.10 : x
  2. Step 2: Convert to fraction form
    1,514.10/2,271.15 = 785.10/x
  3. Step 3: Cross multiply
    1,514.10x = 2,271.15 × 785.10
  4. Step 4: Simplify right side
    1,514.10x = 1,783,079.87
  5. Step 5: Solve for x
    x = 1,783,079.87/1,514.10
  6. Step 6: Final answer
    x = 1,177.65

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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.