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Finding the Fourth Proportional to 3,048.70, 4,572.33 and 1,316.38

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Solution

The fourth proportional to 3,048.70, 4,572.33 and 1,316.38 is: 1,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.70 : 4,572.33 = 1,316.38 : x
  2. Step 2: Convert to fraction form
    3,048.70/4,572.33 = 1,316.38/x
  3. Step 3: Cross multiply
    3,048.70x = 4,572.33 × 1,316.38
  4. Step 4: Simplify right side
    3,048.70x = 6,018,923.77
  5. Step 5: Solve for x
    x = 6,018,923.77/3,048.70
  6. Step 6: Final answer
    x = 1,974.26

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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.