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Finding the Fourth Proportional to 2,056.06, 2,834.76 and 1,496.08

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Solution

The fourth proportional to 2,056.06, 2,834.76 and 1,496.08 is: 2,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.06 : 2,834.76 = 1,496.08 : x
  2. Step 2: Convert to fraction form
    2,056.06/2,834.76 = 1,496.08/x
  3. Step 3: Cross multiply
    2,056.06x = 2,834.76 × 1,496.08
  4. Step 4: Simplify right side
    2,056.06x = 4,241,027.74
  5. Step 5: Solve for x
    x = 4,241,027.74/2,056.06
  6. Step 6: Final answer
    x = 2,062.70

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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.