Home / 1,583.19-2,374.67-543.15

Finding the Fourth Proportional to 1,583.19, 2,374.67 and 543.15

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Solution

The fourth proportional to 1,583.19, 2,374.67 and 543.15 is: 814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.19 : 2,374.67 = 543.15 : x
  2. Step 2: Convert to fraction form
    1,583.19/2,374.67 = 543.15/x
  3. Step 3: Cross multiply
    1,583.19x = 2,374.67 × 543.15
  4. Step 4: Simplify right side
    1,583.19x = 1,289,803.37
  5. Step 5: Solve for x
    x = 1,289,803.37/1,583.19
  6. Step 6: Final answer
    x = 814.69

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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.