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Finding the Fourth Proportional to 2,075.86, 3,113.79 and 1,424.62

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Solution

The fourth proportional to 2,075.86, 3,113.79 and 1,424.62 is: 2,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.86 : 3,113.79 = 1,424.62 : x
  2. Step 2: Convert to fraction form
    2,075.86/3,113.79 = 1,424.62/x
  3. Step 3: Cross multiply
    2,075.86x = 3,113.79 × 1,424.62
  4. Step 4: Simplify right side
    2,075.86x = 4,435,967.51
  5. Step 5: Solve for x
    x = 4,435,967.51/2,075.86
  6. Step 6: Final answer
    x = 2,136.93

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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.