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Finding the Fourth Proportional to 1,852.91, 2,776.16 and 974.10

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Solution

The fourth proportional to 1,852.91, 2,776.16 and 974.10 is: 1,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.91 : 2,776.16 = 974.10 : x
  2. Step 2: Convert to fraction form
    1,852.91/2,776.16 = 974.10/x
  3. Step 3: Cross multiply
    1,852.91x = 2,776.16 × 974.10
  4. Step 4: Simplify right side
    1,852.91x = 2,704,270.30
  5. Step 5: Solve for x
    x = 2,704,270.30/1,852.91
  6. Step 6: Final answer
    x = 1,459.47

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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.