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Finding the Fourth Proportional to 1,875.08, 2,812.01 and 950.47

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Solution

The fourth proportional to 1,875.08, 2,812.01 and 950.47 is: 1,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.08 : 2,812.01 = 950.47 : x
  2. Step 2: Convert to fraction form
    1,875.08/2,812.01 = 950.47/x
  3. Step 3: Cross multiply
    1,875.08x = 2,812.01 × 950.47
  4. Step 4: Simplify right side
    1,875.08x = 2,672,719.36
  5. Step 5: Solve for x
    x = 2,672,719.36/1,875.08
  6. Step 6: Final answer
    x = 1,425.39

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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.