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Finding the Fourth Proportional to 2,045.57, 2,824.04 and 1,348.16

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Solution

The fourth proportional to 2,045.57, 2,824.04 and 1,348.16 is: 1,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.57 : 2,824.04 = 1,348.16 : x
  2. Step 2: Convert to fraction form
    2,045.57/2,824.04 = 1,348.16/x
  3. Step 3: Cross multiply
    2,045.57x = 2,824.04 × 1,348.16
  4. Step 4: Simplify right side
    2,045.57x = 3,807,247.02
  5. Step 5: Solve for x
    x = 3,807,247.02/2,045.57
  6. Step 6: Final answer
    x = 1,861.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.