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Finding the Fourth Proportional to 1,808.04, 2,494.80 and 1,021.92

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Solution

The fourth proportional to 1,808.04, 2,494.80 and 1,021.92 is: 1,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.04 : 2,494.80 = 1,021.92 : x
  2. Step 2: Convert to fraction form
    1,808.04/2,494.80 = 1,021.92/x
  3. Step 3: Cross multiply
    1,808.04x = 2,494.80 × 1,021.92
  4. Step 4: Simplify right side
    1,808.04x = 2,549,486.02
  5. Step 5: Solve for x
    x = 2,549,486.02/1,808.04
  6. Step 6: Final answer
    x = 1,410.08

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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.