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Finding the Fourth Proportional to 2,160.63, 3,225.17 and 1,854.45

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Solution

The fourth proportional to 2,160.63, 3,225.17 and 1,854.45 is: 2,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.63 : 3,225.17 = 1,854.45 : x
  2. Step 2: Convert to fraction form
    2,160.63/3,225.17 = 1,854.45/x
  3. Step 3: Cross multiply
    2,160.63x = 3,225.17 × 1,854.45
  4. Step 4: Simplify right side
    2,160.63x = 5,980,921.14
  5. Step 5: Solve for x
    x = 5,980,921.14/2,160.63
  6. Step 6: Final answer
    x = 2,768.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.