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Finding the Fourth Proportional to 2,071.74, 3,106.53 and 975.78

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Solution

The fourth proportional to 2,071.74, 3,106.53 and 975.78 is: 1,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.74 : 3,106.53 = 975.78 : x
  2. Step 2: Convert to fraction form
    2,071.74/3,106.53 = 975.78/x
  3. Step 3: Cross multiply
    2,071.74x = 3,106.53 × 975.78
  4. Step 4: Simplify right side
    2,071.74x = 3,031,289.84
  5. Step 5: Solve for x
    x = 3,031,289.84/2,071.74
  6. Step 6: Final answer
    x = 1,463.16

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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.