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Finding the Fourth Proportional to 1,501.14, 2,072.52 and 978.66

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Solution

The fourth proportional to 1,501.14, 2,072.52 and 978.66 is: 1,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.14 : 2,072.52 = 978.66 : x
  2. Step 2: Convert to fraction form
    1,501.14/2,072.52 = 978.66/x
  3. Step 3: Cross multiply
    1,501.14x = 2,072.52 × 978.66
  4. Step 4: Simplify right side
    1,501.14x = 2,028,292.42
  5. Step 5: Solve for x
    x = 2,028,292.42/1,501.14
  6. Step 6: Final answer
    x = 1,351.17

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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.