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Finding the Fourth Proportional to 1,240.11, 1,858.14 and 692.01

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Solution

The fourth proportional to 1,240.11, 1,858.14 and 692.01 is: 1,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.11 : 1,858.14 = 692.01 : x
  2. Step 2: Convert to fraction form
    1,240.11/1,858.14 = 692.01/x
  3. Step 3: Cross multiply
    1,240.11x = 1,858.14 × 692.01
  4. Step 4: Simplify right side
    1,240.11x = 1,285,851.46
  5. Step 5: Solve for x
    x = 1,285,851.46/1,240.11
  6. Step 6: Final answer
    x = 1,036.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.