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Finding the Fourth Proportional to 1,810.50, 2,715.75 and 512.01

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Solution

The fourth proportional to 1,810.50, 2,715.75 and 512.01 is: 768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.50 : 2,715.75 = 512.01 : x
  2. Step 2: Convert to fraction form
    1,810.50/2,715.75 = 512.01/x
  3. Step 3: Cross multiply
    1,810.50x = 2,715.75 × 512.01
  4. Step 4: Simplify right side
    1,810.50x = 1,390,491.16
  5. Step 5: Solve for x
    x = 1,390,491.16/1,810.50
  6. Step 6: Final answer
    x = 768.02

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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.