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Finding the Fourth Proportional to 2,152.68, 2,970.72 and 1,221

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Solution

The fourth proportional to 2,152.68, 2,970.72 and 1,221 is: 1,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.68 : 2,970.72 = 1,221 : x
  2. Step 2: Convert to fraction form
    2,152.68/2,970.72 = 1,221/x
  3. Step 3: Cross multiply
    2,152.68x = 2,970.72 × 1,221
  4. Step 4: Simplify right side
    2,152.68x = 3,627,249.12
  5. Step 5: Solve for x
    x = 3,627,249.12/2,152.68
  6. Step 6: Final answer
    x = 1,684.99

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Why These Related Problems?

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