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Finding the Fourth Proportional to 1,471.04, 2,206.57 and 375.41

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Solution

The fourth proportional to 1,471.04, 2,206.57 and 375.41 is: 563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.04 : 2,206.57 = 375.41 : x
  2. Step 2: Convert to fraction form
    1,471.04/2,206.57 = 375.41/x
  3. Step 3: Cross multiply
    1,471.04x = 2,206.57 × 375.41
  4. Step 4: Simplify right side
    1,471.04x = 828,373.02
  5. Step 5: Solve for x
    x = 828,373.02/1,471.04
  6. Step 6: Final answer
    x = 563.12

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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.