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Finding the Fourth Proportional to 2,433.34, 3,648.95 and 1,045.81

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Solution

The fourth proportional to 2,433.34, 3,648.95 and 1,045.81 is: 1,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.34 : 3,648.95 = 1,045.81 : x
  2. Step 2: Convert to fraction form
    2,433.34/3,648.95 = 1,045.81/x
  3. Step 3: Cross multiply
    2,433.34x = 3,648.95 × 1,045.81
  4. Step 4: Simplify right side
    2,433.34x = 3,816,111.65
  5. Step 5: Solve for x
    x = 3,816,111.65/2,433.34
  6. Step 6: Final answer
    x = 1,568.26

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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.