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Finding the Fourth Proportional to 3,482.71, 4,804.99 and 1,970.03

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Solution

The fourth proportional to 3,482.71, 4,804.99 and 1,970.03 is: 2,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.71 : 4,804.99 = 1,970.03 : x
  2. Step 2: Convert to fraction form
    3,482.71/4,804.99 = 1,970.03/x
  3. Step 3: Cross multiply
    3,482.71x = 4,804.99 × 1,970.03
  4. Step 4: Simplify right side
    3,482.71x = 9,465,974.45
  5. Step 5: Solve for x
    x = 9,465,974.45/3,482.71
  6. Step 6: Final answer
    x = 2,717.99

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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.