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Finding the Fourth Proportional to 2,802.60, 4,195.60 and 2,075.42

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Solution

The fourth proportional to 2,802.60, 4,195.60 and 2,075.42 is: 3,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.60 : 4,195.60 = 2,075.42 : x
  2. Step 2: Convert to fraction form
    2,802.60/4,195.60 = 2,075.42/x
  3. Step 3: Cross multiply
    2,802.60x = 4,195.60 × 2,075.42
  4. Step 4: Simplify right side
    2,802.60x = 8,707,637.45
  5. Step 5: Solve for x
    x = 8,707,637.45/2,802.60
  6. Step 6: Final answer
    x = 3,106.99

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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.