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Finding the Fourth Proportional to 1,678.03, 2,315.14 and 969.78

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Solution

The fourth proportional to 1,678.03, 2,315.14 and 969.78 is: 1,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.03 : 2,315.14 = 969.78 : x
  2. Step 2: Convert to fraction form
    1,678.03/2,315.14 = 969.78/x
  3. Step 3: Cross multiply
    1,678.03x = 2,315.14 × 969.78
  4. Step 4: Simplify right side
    1,678.03x = 2,245,176.47
  5. Step 5: Solve for x
    x = 2,245,176.47/1,678.03
  6. Step 6: Final answer
    x = 1,337.98

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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.