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Finding the Fourth Proportional to 1,410.35, 1,946.03 and 821.08

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Solution

The fourth proportional to 1,410.35, 1,946.03 and 821.08 is: 1,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.35 : 1,946.03 = 821.08 : x
  2. Step 2: Convert to fraction form
    1,410.35/1,946.03 = 821.08/x
  3. Step 3: Cross multiply
    1,410.35x = 1,946.03 × 821.08
  4. Step 4: Simplify right side
    1,410.35x = 1,597,832.48
  5. Step 5: Solve for x
    x = 1,597,832.48/1,410.35
  6. Step 6: Final answer
    x = 1,132.93

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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.