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Finding the Fourth Proportional to 2,888.40, 4,325.22 and 1,588.44

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Solution

The fourth proportional to 2,888.40, 4,325.22 and 1,588.44 is: 2,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.40 : 4,325.22 = 1,588.44 : x
  2. Step 2: Convert to fraction form
    2,888.40/4,325.22 = 1,588.44/x
  3. Step 3: Cross multiply
    2,888.40x = 4,325.22 × 1,588.44
  4. Step 4: Simplify right side
    2,888.40x = 6,870,352.46
  5. Step 5: Solve for x
    x = 6,870,352.46/2,888.40
  6. Step 6: Final answer
    x = 2,378.60

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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.