Home / 1,883.64-2,823.45-713.10

Finding the Fourth Proportional to 1,883.64, 2,823.45 and 713.10

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Solution

The fourth proportional to 1,883.64, 2,823.45 and 713.10 is: 1,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.64 : 2,823.45 = 713.10 : x
  2. Step 2: Convert to fraction form
    1,883.64/2,823.45 = 713.10/x
  3. Step 3: Cross multiply
    1,883.64x = 2,823.45 × 713.10
  4. Step 4: Simplify right side
    1,883.64x = 2,013,402.20
  5. Step 5: Solve for x
    x = 2,013,402.20/1,883.64
  6. Step 6: Final answer
    x = 1,068.89

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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.