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Finding the Fourth Proportional to 1,490.10, 2,056.28 and 892.86

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Solution

The fourth proportional to 1,490.10, 2,056.28 and 892.86 is: 1,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.10 : 2,056.28 = 892.86 : x
  2. Step 2: Convert to fraction form
    1,490.10/2,056.28 = 892.86/x
  3. Step 3: Cross multiply
    1,490.10x = 2,056.28 × 892.86
  4. Step 4: Simplify right side
    1,490.10x = 1,835,970.16
  5. Step 5: Solve for x
    x = 1,835,970.16/1,490.10
  6. Step 6: Final answer
    x = 1,232.11

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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.