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Finding the Fourth Proportional to 2,482.32, 3,698.23 and 2,364.77

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Solution

The fourth proportional to 2,482.32, 3,698.23 and 2,364.77 is: 3,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.32 : 3,698.23 = 2,364.77 : x
  2. Step 2: Convert to fraction form
    2,482.32/3,698.23 = 2,364.77/x
  3. Step 3: Cross multiply
    2,482.32x = 3,698.23 × 2,364.77
  4. Step 4: Simplify right side
    2,482.32x = 8,745,463.36
  5. Step 5: Solve for x
    x = 8,745,463.36/2,482.32
  6. Step 6: Final answer
    x = 3,523.10

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