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Finding the Fourth Proportional to 1,871.40, 2,803.05 and 1,666.20

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Solution

The fourth proportional to 1,871.40, 2,803.05 and 1,666.20 is: 2,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.40 : 2,803.05 = 1,666.20 : x
  2. Step 2: Convert to fraction form
    1,871.40/2,803.05 = 1,666.20/x
  3. Step 3: Cross multiply
    1,871.40x = 2,803.05 × 1,666.20
  4. Step 4: Simplify right side
    1,871.40x = 4,670,441.91
  5. Step 5: Solve for x
    x = 4,670,441.91/1,871.40
  6. Step 6: Final answer
    x = 2,495.69

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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.