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Finding the Fourth Proportional to 3,045.74, 4,570.49 and 1,196.53

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Solution

The fourth proportional to 3,045.74, 4,570.49 and 1,196.53 is: 1,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.74 : 4,570.49 = 1,196.53 : x
  2. Step 2: Convert to fraction form
    3,045.74/4,570.49 = 1,196.53/x
  3. Step 3: Cross multiply
    3,045.74x = 4,570.49 × 1,196.53
  4. Step 4: Simplify right side
    3,045.74x = 5,468,718.13
  5. Step 5: Solve for x
    x = 5,468,718.13/3,045.74
  6. Step 6: Final answer
    x = 1,795.53

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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.