Home / 2,042.64-2,818.85-1,146.40

Finding the Fourth Proportional to 2,042.64, 2,818.85 and 1,146.40

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Solution

The fourth proportional to 2,042.64, 2,818.85 and 1,146.40 is: 1,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.64 : 2,818.85 = 1,146.40 : x
  2. Step 2: Convert to fraction form
    2,042.64/2,818.85 = 1,146.40/x
  3. Step 3: Cross multiply
    2,042.64x = 2,818.85 × 1,146.40
  4. Step 4: Simplify right side
    2,042.64x = 3,231,539.17
  5. Step 5: Solve for x
    x = 3,231,539.17/2,042.64
  6. Step 6: Final answer
    x = 1,582.04

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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.