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Finding the Fourth Proportional to 2,152.32, 2,971.19 and 1,654.79

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Solution

The fourth proportional to 2,152.32, 2,971.19 and 1,654.79 is: 2,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.32 : 2,971.19 = 1,654.79 : x
  2. Step 2: Convert to fraction form
    2,152.32/2,971.19 = 1,654.79/x
  3. Step 3: Cross multiply
    2,152.32x = 2,971.19 × 1,654.79
  4. Step 4: Simplify right side
    2,152.32x = 4,916,688.07
  5. Step 5: Solve for x
    x = 4,916,688.07/2,152.32
  6. Step 6: Final answer
    x = 2,284.36

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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.