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Finding the Fourth Proportional to 1,302.06, 1,950.01 and 1,130.13

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Solution

The fourth proportional to 1,302.06, 1,950.01 and 1,130.13 is: 1,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.06 : 1,950.01 = 1,130.13 : x
  2. Step 2: Convert to fraction form
    1,302.06/1,950.01 = 1,130.13/x
  3. Step 3: Cross multiply
    1,302.06x = 1,950.01 × 1,130.13
  4. Step 4: Simplify right side
    1,302.06x = 2,203,764.80
  5. Step 5: Solve for x
    x = 2,203,764.80/1,302.06
  6. Step 6: Final answer
    x = 1,692.52

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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.