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Finding the Fourth Proportional to 1,410.60, 1,946.19 and 821.02

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Solution

The fourth proportional to 1,410.60, 1,946.19 and 821.02 is: 1,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.60 : 1,946.19 = 821.02 : x
  2. Step 2: Convert to fraction form
    1,410.60/1,946.19 = 821.02/x
  3. Step 3: Cross multiply
    1,410.60x = 1,946.19 × 821.02
  4. Step 4: Simplify right side
    1,410.60x = 1,597,860.91
  5. Step 5: Solve for x
    x = 1,597,860.91/1,410.60
  6. Step 6: Final answer
    x = 1,132.75

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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.