Home / 1,583.12-2,184.03-1,023.39

Finding the Fourth Proportional to 1,583.12, 2,184.03 and 1,023.39

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Solution

The fourth proportional to 1,583.12, 2,184.03 and 1,023.39 is: 1,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.12 : 2,184.03 = 1,023.39 : x
  2. Step 2: Convert to fraction form
    1,583.12/2,184.03 = 1,023.39/x
  3. Step 3: Cross multiply
    1,583.12x = 2,184.03 × 1,023.39
  4. Step 4: Simplify right side
    1,583.12x = 2,235,114.46
  5. Step 5: Solve for x
    x = 2,235,114.46/1,583.12
  6. Step 6: Final answer
    x = 1,411.85

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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.