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Finding the Fourth Proportional to 2,364.71, 3,264.30 and 1,480.32

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Solution

The fourth proportional to 2,364.71, 3,264.30 and 1,480.32 is: 2,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.71 : 3,264.30 = 1,480.32 : x
  2. Step 2: Convert to fraction form
    2,364.71/3,264.30 = 1,480.32/x
  3. Step 3: Cross multiply
    2,364.71x = 3,264.30 × 1,480.32
  4. Step 4: Simplify right side
    2,364.71x = 4,832,208.58
  5. Step 5: Solve for x
    x = 4,832,208.58/2,364.71
  6. Step 6: Final answer
    x = 2,043.47

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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.