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Finding the Fourth Proportional to 1,851.78, 2,774.01 and 972.97

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Solution

The fourth proportional to 1,851.78, 2,774.01 and 972.97 is: 1,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.78 : 2,774.01 = 972.97 : x
  2. Step 2: Convert to fraction form
    1,851.78/2,774.01 = 972.97/x
  3. Step 3: Cross multiply
    1,851.78x = 2,774.01 × 972.97
  4. Step 4: Simplify right side
    1,851.78x = 2,699,028.51
  5. Step 5: Solve for x
    x = 2,699,028.51/1,851.78
  6. Step 6: Final answer
    x = 1,457.53

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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.