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Finding the Fourth Proportional to 1,572.41, 2,358.99 and 1,111.09

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Solution

The fourth proportional to 1,572.41, 2,358.99 and 1,111.09 is: 1,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.41 : 2,358.99 = 1,111.09 : x
  2. Step 2: Convert to fraction form
    1,572.41/2,358.99 = 1,111.09/x
  3. Step 3: Cross multiply
    1,572.41x = 2,358.99 × 1,111.09
  4. Step 4: Simplify right side
    1,572.41x = 2,621,050.20
  5. Step 5: Solve for x
    x = 2,621,050.20/1,572.41
  6. Step 6: Final answer
    x = 1,666.90

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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.