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Finding the Fourth Proportional to 1,359.69, 1,878.09 and 1,006.12

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Solution

The fourth proportional to 1,359.69, 1,878.09 and 1,006.12 is: 1,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.69 : 1,878.09 = 1,006.12 : x
  2. Step 2: Convert to fraction form
    1,359.69/1,878.09 = 1,006.12/x
  3. Step 3: Cross multiply
    1,359.69x = 1,878.09 × 1,006.12
  4. Step 4: Simplify right side
    1,359.69x = 1,889,582.49
  5. Step 5: Solve for x
    x = 1,889,582.49/1,359.69
  6. Step 6: Final answer
    x = 1,389.72

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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.