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Finding the Fourth Proportional to 2,291.22, 3,160.53 and 1,407.22

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Solution

The fourth proportional to 2,291.22, 3,160.53 and 1,407.22 is: 1,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.22 : 3,160.53 = 1,407.22 : x
  2. Step 2: Convert to fraction form
    2,291.22/3,160.53 = 1,407.22/x
  3. Step 3: Cross multiply
    2,291.22x = 3,160.53 × 1,407.22
  4. Step 4: Simplify right side
    2,291.22x = 4,447,561.03
  5. Step 5: Solve for x
    x = 4,447,561.03/2,291.22
  6. Step 6: Final answer
    x = 1,941.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.