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Finding the Fourth Proportional to 2,370.71, 3,554.54 and 985.01

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Solution

The fourth proportional to 2,370.71, 3,554.54 and 985.01 is: 1,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.71 : 3,554.54 = 985.01 : x
  2. Step 2: Convert to fraction form
    2,370.71/3,554.54 = 985.01/x
  3. Step 3: Cross multiply
    2,370.71x = 3,554.54 × 985.01
  4. Step 4: Simplify right side
    2,370.71x = 3,501,234.75
  5. Step 5: Solve for x
    x = 3,501,234.75/2,370.71
  6. Step 6: Final answer
    x = 1,476.87

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1.5x scale

Why These Related Problems?

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