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Finding the Fourth Proportional to 2,412.70, 3,328.98 and 1,417.60

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Solution

The fourth proportional to 2,412.70, 3,328.98 and 1,417.60 is: 1,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.70 : 3,328.98 = 1,417.60 : x
  2. Step 2: Convert to fraction form
    2,412.70/3,328.98 = 1,417.60/x
  3. Step 3: Cross multiply
    2,412.70x = 3,328.98 × 1,417.60
  4. Step 4: Simplify right side
    2,412.70x = 4,719,162.05
  5. Step 5: Solve for x
    x = 4,719,162.05/2,412.70
  6. Step 6: Final answer
    x = 1,955.97

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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.