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Finding the Fourth Proportional to 2,166.63, 2,988.55 and 1,281.81

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Solution

The fourth proportional to 2,166.63, 2,988.55 and 1,281.81 is: 1,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.63 : 2,988.55 = 1,281.81 : x
  2. Step 2: Convert to fraction form
    2,166.63/2,988.55 = 1,281.81/x
  3. Step 3: Cross multiply
    2,166.63x = 2,988.55 × 1,281.81
  4. Step 4: Simplify right side
    2,166.63x = 3,830,753.28
  5. Step 5: Solve for x
    x = 3,830,753.28/2,166.63
  6. Step 6: Final answer
    x = 1,768.07

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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.