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Finding the Fourth Proportional to 1,536.04, 2,302.92 and 610.84

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Solution

The fourth proportional to 1,536.04, 2,302.92 and 610.84 is: 915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.04 : 2,302.92 = 610.84 : x
  2. Step 2: Convert to fraction form
    1,536.04/2,302.92 = 610.84/x
  3. Step 3: Cross multiply
    1,536.04x = 2,302.92 × 610.84
  4. Step 4: Simplify right side
    1,536.04x = 1,406,715.65
  5. Step 5: Solve for x
    x = 1,406,715.65/1,536.04
  6. Step 6: Final answer
    x = 915.81

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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.