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Finding the Fourth Proportional to 1,971.04, 2,957.62 and 739.30

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Solution

The fourth proportional to 1,971.04, 2,957.62 and 739.30 is: 1,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.04 : 2,957.62 = 739.30 : x
  2. Step 2: Convert to fraction form
    1,971.04/2,957.62 = 739.30/x
  3. Step 3: Cross multiply
    1,971.04x = 2,957.62 × 739.30
  4. Step 4: Simplify right side
    1,971.04x = 2,186,568.47
  5. Step 5: Solve for x
    x = 2,186,568.47/1,971.04
  6. Step 6: Final answer
    x = 1,109.35

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1.5x scale

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.