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Finding the Fourth Proportional to 2,114.57, 2,918.14 and 1,170.45

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Solution

The fourth proportional to 2,114.57, 2,918.14 and 1,170.45 is: 1,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.57 : 2,918.14 = 1,170.45 : x
  2. Step 2: Convert to fraction form
    2,114.57/2,918.14 = 1,170.45/x
  3. Step 3: Cross multiply
    2,114.57x = 2,918.14 × 1,170.45
  4. Step 4: Simplify right side
    2,114.57x = 3,415,534.04
  5. Step 5: Solve for x
    x = 3,415,534.04/2,114.57
  6. Step 6: Final answer
    x = 1,615.24

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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.