Home / 1,583.66-2,184.08-1,023.95

Finding the Fourth Proportional to 1,583.66, 2,184.08 and 1,023.95

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Solution

The fourth proportional to 1,583.66, 2,184.08 and 1,023.95 is: 1,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.66 : 2,184.08 = 1,023.95 : x
  2. Step 2: Convert to fraction form
    1,583.66/2,184.08 = 1,023.95/x
  3. Step 3: Cross multiply
    1,583.66x = 2,184.08 × 1,023.95
  4. Step 4: Simplify right side
    1,583.66x = 2,236,372.68
  5. Step 5: Solve for x
    x = 2,236,372.68/1,583.66
  6. Step 6: Final answer
    x = 1,412.16

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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.