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Finding the Fourth Proportional to 2,407.40, 3,322.02 and 1,412.60

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Solution

The fourth proportional to 2,407.40, 3,322.02 and 1,412.60 is: 1,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.40 : 3,322.02 = 1,412.60 : x
  2. Step 2: Convert to fraction form
    2,407.40/3,322.02 = 1,412.60/x
  3. Step 3: Cross multiply
    2,407.40x = 3,322.02 × 1,412.60
  4. Step 4: Simplify right side
    2,407.40x = 4,692,685.45
  5. Step 5: Solve for x
    x = 4,692,685.45/2,407.40
  6. Step 6: Final answer
    x = 1,949.28

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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.