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Finding the Fourth Proportional to 2,927.68, 4,386.56 and 1,771

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Solution

The fourth proportional to 2,927.68, 4,386.56 and 1,771 is: 2,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.68 : 4,386.56 = 1,771 : x
  2. Step 2: Convert to fraction form
    2,927.68/4,386.56 = 1,771/x
  3. Step 3: Cross multiply
    2,927.68x = 4,386.56 × 1,771
  4. Step 4: Simplify right side
    2,927.68x = 7,768,597.76
  5. Step 5: Solve for x
    x = 7,768,597.76/2,927.68
  6. Step 6: Final answer
    x = 2,653.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.