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Finding the Fourth Proportional to 1,812.95, 2,501.85 and 984.95

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Solution

The fourth proportional to 1,812.95, 2,501.85 and 984.95 is: 1,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.95 : 2,501.85 = 984.95 : x
  2. Step 2: Convert to fraction form
    1,812.95/2,501.85 = 984.95/x
  3. Step 3: Cross multiply
    1,812.95x = 2,501.85 × 984.95
  4. Step 4: Simplify right side
    1,812.95x = 2,464,184.65
  5. Step 5: Solve for x
    x = 2,464,184.65/1,812.95
  6. Step 6: Final answer
    x = 1,359.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.