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Finding the Fourth Proportional to 1,640.22, 2,461.14 and 1,424.76

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Solution

The fourth proportional to 1,640.22, 2,461.14 and 1,424.76 is: 2,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.22 : 2,461.14 = 1,424.76 : x
  2. Step 2: Convert to fraction form
    1,640.22/2,461.14 = 1,424.76/x
  3. Step 3: Cross multiply
    1,640.22x = 2,461.14 × 1,424.76
  4. Step 4: Simplify right side
    1,640.22x = 3,506,533.83
  5. Step 5: Solve for x
    x = 3,506,533.83/1,640.22
  6. Step 6: Final answer
    x = 2,137.84

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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.