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Finding the Fourth Proportional to 2,406.47, 3,320.93 and 1,302.47

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Solution

The fourth proportional to 2,406.47, 3,320.93 and 1,302.47 is: 1,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.47 : 3,320.93 = 1,302.47 : x
  2. Step 2: Convert to fraction form
    2,406.47/3,320.93 = 1,302.47/x
  3. Step 3: Cross multiply
    2,406.47x = 3,320.93 × 1,302.47
  4. Step 4: Simplify right side
    2,406.47x = 4,325,411.70
  5. Step 5: Solve for x
    x = 4,325,411.70/2,406.47
  6. Step 6: Final answer
    x = 1,797.41

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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.