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Finding the Fourth Proportional to 1,640.70, 2,461.01 and 545.07

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Solution

The fourth proportional to 1,640.70, 2,461.01 and 545.07 is: 817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.70 : 2,461.01 = 545.07 : x
  2. Step 2: Convert to fraction form
    1,640.70/2,461.01 = 545.07/x
  3. Step 3: Cross multiply
    1,640.70x = 2,461.01 × 545.07
  4. Step 4: Simplify right side
    1,640.70x = 1,341,427.16
  5. Step 5: Solve for x
    x = 1,341,427.16/1,640.70
  6. Step 6: Final answer
    x = 817.60

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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.