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Finding the Fourth Proportional to 2,075.38, 3,111.98 and 614.32

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Solution

The fourth proportional to 2,075.38, 3,111.98 and 614.32 is: 921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.38 : 3,111.98 = 614.32 : x
  2. Step 2: Convert to fraction form
    2,075.38/3,111.98 = 614.32/x
  3. Step 3: Cross multiply
    2,075.38x = 3,111.98 × 614.32
  4. Step 4: Simplify right side
    2,075.38x = 1,911,751.55
  5. Step 5: Solve for x
    x = 1,911,751.55/2,075.38
  6. Step 6: Final answer
    x = 921.16

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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.