Home / 1,566.10-2,348.56-470.10

Finding the Fourth Proportional to 1,566.10, 2,348.56 and 470.10

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Solution

The fourth proportional to 1,566.10, 2,348.56 and 470.10 is: 704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.10 : 2,348.56 = 470.10 : x
  2. Step 2: Convert to fraction form
    1,566.10/2,348.56 = 470.10/x
  3. Step 3: Cross multiply
    1,566.10x = 2,348.56 × 470.10
  4. Step 4: Simplify right side
    1,566.10x = 1,104,058.06
  5. Step 5: Solve for x
    x = 1,104,058.06/1,566.10
  6. Step 6: Final answer
    x = 704.97

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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.