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Finding the Fourth Proportional to 2,470.77, 3,406.46 and 1,880.28

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Solution

The fourth proportional to 2,470.77, 3,406.46 and 1,880.28 is: 2,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.77 : 3,406.46 = 1,880.28 : x
  2. Step 2: Convert to fraction form
    2,470.77/3,406.46 = 1,880.28/x
  3. Step 3: Cross multiply
    2,470.77x = 3,406.46 × 1,880.28
  4. Step 4: Simplify right side
    2,470.77x = 6,405,089.21
  5. Step 5: Solve for x
    x = 6,405,089.21/2,470.77
  6. Step 6: Final answer
    x = 2,592.35

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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.