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Finding the Fourth Proportional to 2,888.65, 4,325.60 and 1,588.69

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Solution

The fourth proportional to 2,888.65, 4,325.60 and 1,588.69 is: 2,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.65 : 4,325.60 = 1,588.69 : x
  2. Step 2: Convert to fraction form
    2,888.65/4,325.60 = 1,588.69/x
  3. Step 3: Cross multiply
    2,888.65x = 4,325.60 × 1,588.69
  4. Step 4: Simplify right side
    2,888.65x = 6,872,029.52
  5. Step 5: Solve for x
    x = 6,872,029.52/2,888.65
  6. Step 6: Final answer
    x = 2,378.98

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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.