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Finding the Fourth Proportional to 1,884.94, 2,827.58 and 586.42

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Solution

The fourth proportional to 1,884.94, 2,827.58 and 586.42 is: 879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.94 : 2,827.58 = 586.42 : x
  2. Step 2: Convert to fraction form
    1,884.94/2,827.58 = 586.42/x
  3. Step 3: Cross multiply
    1,884.94x = 2,827.58 × 586.42
  4. Step 4: Simplify right side
    1,884.94x = 1,658,139.46
  5. Step 5: Solve for x
    x = 1,658,139.46/1,884.94
  6. Step 6: Final answer
    x = 879.68

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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.