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Finding the Fourth Proportional to 1,435.98, 1,978.95 and 1,036.94

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Solution

The fourth proportional to 1,435.98, 1,978.95 and 1,036.94 is: 1,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.98 : 1,978.95 = 1,036.94 : x
  2. Step 2: Convert to fraction form
    1,435.98/1,978.95 = 1,036.94/x
  3. Step 3: Cross multiply
    1,435.98x = 1,978.95 × 1,036.94
  4. Step 4: Simplify right side
    1,435.98x = 2,052,052.41
  5. Step 5: Solve for x
    x = 2,052,052.41/1,435.98
  6. Step 6: Final answer
    x = 1,429.03

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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.