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Finding the Fourth Proportional to 1,851.99, 2,774.49 and 1,030.95

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Solution

The fourth proportional to 1,851.99, 2,774.49 and 1,030.95 is: 1,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.99 : 2,774.49 = 1,030.95 : x
  2. Step 2: Convert to fraction form
    1,851.99/2,774.49 = 1,030.95/x
  3. Step 3: Cross multiply
    1,851.99x = 2,774.49 × 1,030.95
  4. Step 4: Simplify right side
    1,851.99x = 2,860,360.47
  5. Step 5: Solve for x
    x = 2,860,360.47/1,851.99
  6. Step 6: Final answer
    x = 1,544.48

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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.