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Finding the Fourth Proportional to 1,566.19, 2,348.49 and 873.34

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Solution

The fourth proportional to 1,566.19, 2,348.49 and 873.34 is: 1,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.19 : 2,348.49 = 873.34 : x
  2. Step 2: Convert to fraction form
    1,566.19/2,348.49 = 873.34/x
  3. Step 3: Cross multiply
    1,566.19x = 2,348.49 × 873.34
  4. Step 4: Simplify right side
    1,566.19x = 2,051,030.26
  5. Step 5: Solve for x
    x = 2,051,030.26/1,566.19
  6. Step 6: Final answer
    x = 1,309.57

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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.