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Finding the Fourth Proportional to 2,152.71, 2,967.57 and 1,521.18

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Solution

The fourth proportional to 2,152.71, 2,967.57 and 1,521.18 is: 2,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.71 : 2,967.57 = 1,521.18 : x
  2. Step 2: Convert to fraction form
    2,152.71/2,967.57 = 1,521.18/x
  3. Step 3: Cross multiply
    2,152.71x = 2,967.57 × 1,521.18
  4. Step 4: Simplify right side
    2,152.71x = 4,514,208.13
  5. Step 5: Solve for x
    x = 4,514,208.13/2,152.71
  6. Step 6: Final answer
    x = 2,096.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.