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Finding the Fourth Proportional to 2,523.76, 3,482.80 and 1,475.60

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Solution

The fourth proportional to 2,523.76, 3,482.80 and 1,475.60 is: 2,036.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.76 : 3,482.80 = 1,475.60 : x
  2. Step 2: Convert to fraction form
    2,523.76/3,482.80 = 1,475.60/x
  3. Step 3: Cross multiply
    2,523.76x = 3,482.80 × 1,475.60
  4. Step 4: Simplify right side
    2,523.76x = 5,139,219.68
  5. Step 5: Solve for x
    x = 5,139,219.68/2,523.76
  6. Step 6: Final answer
    x = 2,036.33

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