Home / 2,543.13-3,814.70-1,004.13

Finding the Fourth Proportional to 2,543.13, 3,814.70 and 1,004.13

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Solution

The fourth proportional to 2,543.13, 3,814.70 and 1,004.13 is: 1,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.13 : 3,814.70 = 1,004.13 : x
  2. Step 2: Convert to fraction form
    2,543.13/3,814.70 = 1,004.13/x
  3. Step 3: Cross multiply
    2,543.13x = 3,814.70 × 1,004.13
  4. Step 4: Simplify right side
    2,543.13x = 3,830,454.71
  5. Step 5: Solve for x
    x = 3,830,454.71/2,543.13
  6. Step 6: Final answer
    x = 1,506.20

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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.