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Finding the Fourth Proportional to 1,670.16, 2,490.02 and 1,627.56

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Solution

The fourth proportional to 1,670.16, 2,490.02 and 1,627.56 is: 2,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.16 : 2,490.02 = 1,627.56 : x
  2. Step 2: Convert to fraction form
    1,670.16/2,490.02 = 1,627.56/x
  3. Step 3: Cross multiply
    1,670.16x = 2,490.02 × 1,627.56
  4. Step 4: Simplify right side
    1,670.16x = 4,052,661.02
  5. Step 5: Solve for x
    x = 4,052,661.02/1,670.16
  6. Step 6: Final answer
    x = 2,426.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.