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Finding the Fourth Proportional to 2,370.16, 3,554.81 and 638.38

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Solution

The fourth proportional to 2,370.16, 3,554.81 and 638.38 is: 957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.16 : 3,554.81 = 638.38 : x
  2. Step 2: Convert to fraction form
    2,370.16/3,554.81 = 638.38/x
  3. Step 3: Cross multiply
    2,370.16x = 3,554.81 × 638.38
  4. Step 4: Simplify right side
    2,370.16x = 2,269,319.61
  5. Step 5: Solve for x
    x = 2,269,319.61/2,370.16
  6. Step 6: Final answer
    x = 957.45

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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.