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Finding the Fourth Proportional to 2,075.30, 3,113.30 and 614.60

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Solution

The fourth proportional to 2,075.30, 3,113.30 and 614.60 is: 922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.30 : 3,113.30 = 614.60 : x
  2. Step 2: Convert to fraction form
    2,075.30/3,113.30 = 614.60/x
  3. Step 3: Cross multiply
    2,075.30x = 3,113.30 × 614.60
  4. Step 4: Simplify right side
    2,075.30x = 1,913,434.18
  5. Step 5: Solve for x
    x = 1,913,434.18/2,075.30
  6. Step 6: Final answer
    x = 922.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.