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Finding the Fourth Proportional to 2,075.83, 3,113.78 and 615.40

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Solution

The fourth proportional to 2,075.83, 3,113.78 and 615.40 is: 923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.83 : 3,113.78 = 615.40 : x
  2. Step 2: Convert to fraction form
    2,075.83/3,113.78 = 615.40/x
  3. Step 3: Cross multiply
    2,075.83x = 3,113.78 × 615.40
  4. Step 4: Simplify right side
    2,075.83x = 1,916,209.35
  5. Step 5: Solve for x
    x = 1,916,209.35/2,075.83
  6. Step 6: Final answer
    x = 923.11

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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.