Home / 1,567.20-2,351.04-471.45

Finding the Fourth Proportional to 1,567.20, 2,351.04 and 471.45

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Solution

The fourth proportional to 1,567.20, 2,351.04 and 471.45 is: 707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.20 : 2,351.04 = 471.45 : x
  2. Step 2: Convert to fraction form
    1,567.20/2,351.04 = 471.45/x
  3. Step 3: Cross multiply
    1,567.20x = 2,351.04 × 471.45
  4. Step 4: Simplify right side
    1,567.20x = 1,108,397.81
  5. Step 5: Solve for x
    x = 1,108,397.81/1,567.20
  6. Step 6: Final answer
    x = 707.25

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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.