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Finding the Fourth Proportional to 1,657.56, 2,274.36 and 1,642.08

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Solution

The fourth proportional to 1,657.56, 2,274.36 and 1,642.08 is: 2,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.56 : 2,274.36 = 1,642.08 : x
  2. Step 2: Convert to fraction form
    1,657.56/2,274.36 = 1,642.08/x
  3. Step 3: Cross multiply
    1,657.56x = 2,274.36 × 1,642.08
  4. Step 4: Simplify right side
    1,657.56x = 3,734,681.07
  5. Step 5: Solve for x
    x = 3,734,681.07/1,657.56
  6. Step 6: Final answer
    x = 2,253.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.