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Finding the Fourth Proportional to 2,152.75, 2,969.18 and 1,490.71

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Solution

The fourth proportional to 2,152.75, 2,969.18 and 1,490.71 is: 2,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.75 : 2,969.18 = 1,490.71 : x
  2. Step 2: Convert to fraction form
    2,152.75/2,969.18 = 1,490.71/x
  3. Step 3: Cross multiply
    2,152.75x = 2,969.18 × 1,490.71
  4. Step 4: Simplify right side
    2,152.75x = 4,426,178.86
  5. Step 5: Solve for x
    x = 4,426,178.86/2,152.75
  6. Step 6: Final answer
    x = 2,056.06

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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.