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Finding the Fourth Proportional to 1,827.04, 2,740.80 and 594.04

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Solution

The fourth proportional to 1,827.04, 2,740.80 and 594.04 is: 891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.04 : 2,740.80 = 594.04 : x
  2. Step 2: Convert to fraction form
    1,827.04/2,740.80 = 594.04/x
  3. Step 3: Cross multiply
    1,827.04x = 2,740.80 × 594.04
  4. Step 4: Simplify right side
    1,827.04x = 1,628,144.83
  5. Step 5: Solve for x
    x = 1,628,144.83/1,827.04
  6. Step 6: Final answer
    x = 891.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.