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Finding the Fourth Proportional to 1,572.54, 2,359.20 and 1,111.23

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Solution

The fourth proportional to 1,572.54, 2,359.20 and 1,111.23 is: 1,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.54 : 2,359.20 = 1,111.23 : x
  2. Step 2: Convert to fraction form
    1,572.54/2,359.20 = 1,111.23/x
  3. Step 3: Cross multiply
    1,572.54x = 2,359.20 × 1,111.23
  4. Step 4: Simplify right side
    1,572.54x = 2,621,613.82
  5. Step 5: Solve for x
    x = 2,621,613.82/1,572.54
  6. Step 6: Final answer
    x = 1,667.12

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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.