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Finding the Fourth Proportional to 1,497.82, 2,244.93 and 978.07

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Solution

The fourth proportional to 1,497.82, 2,244.93 and 978.07 is: 1,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.82 : 2,244.93 = 978.07 : x
  2. Step 2: Convert to fraction form
    1,497.82/2,244.93 = 978.07/x
  3. Step 3: Cross multiply
    1,497.82x = 2,244.93 × 978.07
  4. Step 4: Simplify right side
    1,497.82x = 2,195,687.46
  5. Step 5: Solve for x
    x = 2,195,687.46/1,497.82
  6. Step 6: Final answer
    x = 1,465.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.