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Finding the Fourth Proportional to 3,070.71, 4,598.91 and 1,971.81

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Solution

The fourth proportional to 3,070.71, 4,598.91 and 1,971.81 is: 2,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.71 : 4,598.91 = 1,971.81 : x
  2. Step 2: Convert to fraction form
    3,070.71/4,598.91 = 1,971.81/x
  3. Step 3: Cross multiply
    3,070.71x = 4,598.91 × 1,971.81
  4. Step 4: Simplify right side
    3,070.71x = 9,068,176.73
  5. Step 5: Solve for x
    x = 9,068,176.73/3,070.71
  6. Step 6: Final answer
    x = 2,953.12

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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.