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Finding the Fourth Proportional to 2,111.61, 3,167.05 and 572.25

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Solution

The fourth proportional to 2,111.61, 3,167.05 and 572.25 is: 858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.61 : 3,167.05 = 572.25 : x
  2. Step 2: Convert to fraction form
    2,111.61/3,167.05 = 572.25/x
  3. Step 3: Cross multiply
    2,111.61x = 3,167.05 × 572.25
  4. Step 4: Simplify right side
    2,111.61x = 1,812,344.36
  5. Step 5: Solve for x
    x = 1,812,344.36/2,111.61
  6. Step 6: Final answer
    x = 858.28

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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.