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Finding the Fourth Proportional to 4,692.40, 7,039.08 and 1,614

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Solution

The fourth proportional to 4,692.40, 7,039.08 and 1,614 is: 2,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.40 : 7,039.08 = 1,614 : x
  2. Step 2: Convert to fraction form
    4,692.40/7,039.08 = 1,614/x
  3. Step 3: Cross multiply
    4,692.40x = 7,039.08 × 1,614
  4. Step 4: Simplify right side
    4,692.40x = 11,361,075.12
  5. Step 5: Solve for x
    x = 11,361,075.12/4,692.40
  6. Step 6: Final answer
    x = 2,421.17

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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.