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Finding the Fourth Proportional to 2,075.08, 3,114.06 and 904.48

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Solution

The fourth proportional to 2,075.08, 3,114.06 and 904.48 is: 1,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.08 : 3,114.06 = 904.48 : x
  2. Step 2: Convert to fraction form
    2,075.08/3,114.06 = 904.48/x
  3. Step 3: Cross multiply
    2,075.08x = 3,114.06 × 904.48
  4. Step 4: Simplify right side
    2,075.08x = 2,816,597.20
  5. Step 5: Solve for x
    x = 2,816,597.20/2,075.08
  6. Step 6: Final answer
    x = 1,357.35

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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.