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Finding the Fourth Proportional to 1,798.84, 2,482.45 and 980.33

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Solution

The fourth proportional to 1,798.84, 2,482.45 and 980.33 is: 1,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.84 : 2,482.45 = 980.33 : x
  2. Step 2: Convert to fraction form
    1,798.84/2,482.45 = 980.33/x
  3. Step 3: Cross multiply
    1,798.84x = 2,482.45 × 980.33
  4. Step 4: Simplify right side
    1,798.84x = 2,433,620.21
  5. Step 5: Solve for x
    x = 2,433,620.21/1,798.84
  6. Step 6: Final answer
    x = 1,352.89

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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.