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Finding the Fourth Proportional to 2,476.32, 3,715.04 and 810.53

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Solution

The fourth proportional to 2,476.32, 3,715.04 and 810.53 is: 1,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.32 : 3,715.04 = 810.53 : x
  2. Step 2: Convert to fraction form
    2,476.32/3,715.04 = 810.53/x
  3. Step 3: Cross multiply
    2,476.32x = 3,715.04 × 810.53
  4. Step 4: Simplify right side
    2,476.32x = 3,011,151.37
  5. Step 5: Solve for x
    x = 3,011,151.37/2,476.32
  6. Step 6: Final answer
    x = 1,215.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.