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Finding the Fourth Proportional to 1,497.07, 2,066.88 and 966.42

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Solution

The fourth proportional to 1,497.07, 2,066.88 and 966.42 is: 1,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.07 : 2,066.88 = 966.42 : x
  2. Step 2: Convert to fraction form
    1,497.07/2,066.88 = 966.42/x
  3. Step 3: Cross multiply
    1,497.07x = 2,066.88 × 966.42
  4. Step 4: Simplify right side
    1,497.07x = 1,997,474.17
  5. Step 5: Solve for x
    x = 1,997,474.17/1,497.07
  6. Step 6: Final answer
    x = 1,334.26

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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.