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Finding the Fourth Proportional to 1,453.48, 2,002.94 and 1,435.32

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Solution

The fourth proportional to 1,453.48, 2,002.94 and 1,435.32 is: 1,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.48 : 2,002.94 = 1,435.32 : x
  2. Step 2: Convert to fraction form
    1,453.48/2,002.94 = 1,435.32/x
  3. Step 3: Cross multiply
    1,453.48x = 2,002.94 × 1,435.32
  4. Step 4: Simplify right side
    1,453.48x = 2,874,859.84
  5. Step 5: Solve for x
    x = 2,874,859.84/1,453.48
  6. Step 6: Final answer
    x = 1,977.91

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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.