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Finding the Fourth Proportional to 3,044.66, 4,566.38 and 853.40

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Solution

The fourth proportional to 3,044.66, 4,566.38 and 853.40 is: 1,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.66 : 4,566.38 = 853.40 : x
  2. Step 2: Convert to fraction form
    3,044.66/4,566.38 = 853.40/x
  3. Step 3: Cross multiply
    3,044.66x = 4,566.38 × 853.40
  4. Step 4: Simplify right side
    3,044.66x = 3,896,955.84
  5. Step 5: Solve for x
    x = 3,896,955.84/3,044.66
  6. Step 6: Final answer
    x = 1,279.93

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