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Finding the Fourth Proportional to 1,127.47, 1,692.41 and 946.84

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Solution

The fourth proportional to 1,127.47, 1,692.41 and 946.84 is: 1,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.47 : 1,692.41 = 946.84 : x
  2. Step 2: Convert to fraction form
    1,127.47/1,692.41 = 946.84/x
  3. Step 3: Cross multiply
    1,127.47x = 1,692.41 × 946.84
  4. Step 4: Simplify right side
    1,127.47x = 1,602,441.48
  5. Step 5: Solve for x
    x = 1,602,441.48/1,127.47
  6. Step 6: Final answer
    x = 1,421.27

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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.