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Finding the Fourth Proportional to 2,118.71, 3,165.05 and 1,528.67

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Solution

The fourth proportional to 2,118.71, 3,165.05 and 1,528.67 is: 2,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.71 : 3,165.05 = 1,528.67 : x
  2. Step 2: Convert to fraction form
    2,118.71/3,165.05 = 1,528.67/x
  3. Step 3: Cross multiply
    2,118.71x = 3,165.05 × 1,528.67
  4. Step 4: Simplify right side
    2,118.71x = 4,838,293.51
  5. Step 5: Solve for x
    x = 4,838,293.51/2,118.71
  6. Step 6: Final answer
    x = 2,283.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.