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Finding the Fourth Proportional to 1,476.60, 2,036.70 and 1,214.16

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Solution

The fourth proportional to 1,476.60, 2,036.70 and 1,214.16 is: 1,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.60 : 2,036.70 = 1,214.16 : x
  2. Step 2: Convert to fraction form
    1,476.60/2,036.70 = 1,214.16/x
  3. Step 3: Cross multiply
    1,476.60x = 2,036.70 × 1,214.16
  4. Step 4: Simplify right side
    1,476.60x = 2,472,879.67
  5. Step 5: Solve for x
    x = 2,472,879.67/1,476.60
  6. Step 6: Final answer
    x = 1,674.71

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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.