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Finding the Fourth Proportional to 1,435.69, 1,977.48 and 1,103.48

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Solution

The fourth proportional to 1,435.69, 1,977.48 and 1,103.48 is: 1,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.69 : 1,977.48 = 1,103.48 : x
  2. Step 2: Convert to fraction form
    1,435.69/1,977.48 = 1,103.48/x
  3. Step 3: Cross multiply
    1,435.69x = 1,977.48 × 1,103.48
  4. Step 4: Simplify right side
    1,435.69x = 2,182,109.63
  5. Step 5: Solve for x
    x = 2,182,109.63/1,435.69
  6. Step 6: Final answer
    x = 1,519.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.