Home / 1,566.26-2,346.67-824.77

Finding the Fourth Proportional to 1,566.26, 2,346.67 and 824.77

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Solution

The fourth proportional to 1,566.26, 2,346.67 and 824.77 is: 1,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.26 : 2,346.67 = 824.77 : x
  2. Step 2: Convert to fraction form
    1,566.26/2,346.67 = 824.77/x
  3. Step 3: Cross multiply
    1,566.26x = 2,346.67 × 824.77
  4. Step 4: Simplify right side
    1,566.26x = 1,935,463.02
  5. Step 5: Solve for x
    x = 1,935,463.02/1,566.26
  6. Step 6: Final answer
    x = 1,235.72

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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.