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Finding the Fourth Proportional to 2,412.48, 3,328.10 and 1,417.44

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Solution

The fourth proportional to 2,412.48, 3,328.10 and 1,417.44 is: 1,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.48 : 3,328.10 = 1,417.44 : x
  2. Step 2: Convert to fraction form
    2,412.48/3,328.10 = 1,417.44/x
  3. Step 3: Cross multiply
    2,412.48x = 3,328.10 × 1,417.44
  4. Step 4: Simplify right side
    2,412.48x = 4,717,382.06
  5. Step 5: Solve for x
    x = 4,717,382.06/2,412.48
  6. Step 6: Final answer
    x = 1,955.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.