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Finding the Fourth Proportional to 3,111.90, 4,668.45 and 1,572.90

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Solution

The fourth proportional to 3,111.90, 4,668.45 and 1,572.90 is: 2,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.90 : 4,668.45 = 1,572.90 : x
  2. Step 2: Convert to fraction form
    3,111.90/4,668.45 = 1,572.90/x
  3. Step 3: Cross multiply
    3,111.90x = 4,668.45 × 1,572.90
  4. Step 4: Simplify right side
    3,111.90x = 7,343,005.01
  5. Step 5: Solve for x
    x = 7,343,005.01/3,111.90
  6. Step 6: Final answer
    x = 2,359.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.