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Finding the Fourth Proportional to 1,809.76, 2,709.74 and 1,417.70

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Solution

The fourth proportional to 1,809.76, 2,709.74 and 1,417.70 is: 2,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.76 : 2,709.74 = 1,417.70 : x
  2. Step 2: Convert to fraction form
    1,809.76/2,709.74 = 1,417.70/x
  3. Step 3: Cross multiply
    1,809.76x = 2,709.74 × 1,417.70
  4. Step 4: Simplify right side
    1,809.76x = 3,841,598.40
  5. Step 5: Solve for x
    x = 3,841,598.40/1,809.76
  6. Step 6: Final answer
    x = 2,122.71

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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.