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Finding the Fourth Proportional to 1,678.46, 2,315.93 and 970.07

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Solution

The fourth proportional to 1,678.46, 2,315.93 and 970.07 is: 1,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.46 : 2,315.93 = 970.07 : x
  2. Step 2: Convert to fraction form
    1,678.46/2,315.93 = 970.07/x
  3. Step 3: Cross multiply
    1,678.46x = 2,315.93 × 970.07
  4. Step 4: Simplify right side
    1,678.46x = 2,246,597.79
  5. Step 5: Solve for x
    x = 2,246,597.79/1,678.46
  6. Step 6: Final answer
    x = 1,338.49

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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.