Home / 1,565.23-2,348.19-469.51

Finding the Fourth Proportional to 1,565.23, 2,348.19 and 469.51

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Solution

The fourth proportional to 1,565.23, 2,348.19 and 469.51 is: 704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.23 : 2,348.19 = 469.51 : x
  2. Step 2: Convert to fraction form
    1,565.23/2,348.19 = 469.51/x
  3. Step 3: Cross multiply
    1,565.23x = 2,348.19 × 469.51
  4. Step 4: Simplify right side
    1,565.23x = 1,102,491.06
  5. Step 5: Solve for x
    x = 1,102,491.06/1,565.23
  6. Step 6: Final answer
    x = 704.36

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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.