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Finding the Fourth Proportional to 2,862.72, 4,292.06 and 1,106.26

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Solution

The fourth proportional to 2,862.72, 4,292.06 and 1,106.26 is: 1,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.72 : 4,292.06 = 1,106.26 : x
  2. Step 2: Convert to fraction form
    2,862.72/4,292.06 = 1,106.26/x
  3. Step 3: Cross multiply
    2,862.72x = 4,292.06 × 1,106.26
  4. Step 4: Simplify right side
    2,862.72x = 4,748,118.03
  5. Step 5: Solve for x
    x = 4,748,118.03/2,862.72
  6. Step 6: Final answer
    x = 1,658.60

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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.