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Finding the Fourth Proportional to 3,482.66, 4,805.25 and 1,970.26

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Solution

The fourth proportional to 3,482.66, 4,805.25 and 1,970.26 is: 2,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.66 : 4,805.25 = 1,970.26 : x
  2. Step 2: Convert to fraction form
    3,482.66/4,805.25 = 1,970.26/x
  3. Step 3: Cross multiply
    3,482.66x = 4,805.25 × 1,970.26
  4. Step 4: Simplify right side
    3,482.66x = 9,467,572.46
  5. Step 5: Solve for x
    x = 9,467,572.46/3,482.66
  6. Step 6: Final answer
    x = 2,718.49

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