Home / 1,583.13-2,374.52-543.10

Finding the Fourth Proportional to 1,583.13, 2,374.52 and 543.10

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Solution

The fourth proportional to 1,583.13, 2,374.52 and 543.10 is: 814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.13 : 2,374.52 = 543.10 : x
  2. Step 2: Convert to fraction form
    1,583.13/2,374.52 = 543.10/x
  3. Step 3: Cross multiply
    1,583.13x = 2,374.52 × 543.10
  4. Step 4: Simplify right side
    1,583.13x = 1,289,601.81
  5. Step 5: Solve for x
    x = 1,289,601.81/1,583.13
  6. Step 6: Final answer
    x = 814.59

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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.