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Finding the Fourth Proportional to 2,070.74, 3,107.46 and 975.41

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Solution

The fourth proportional to 2,070.74, 3,107.46 and 975.41 is: 1,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.74 : 3,107.46 = 975.41 : x
  2. Step 2: Convert to fraction form
    2,070.74/3,107.46 = 975.41/x
  3. Step 3: Cross multiply
    2,070.74x = 3,107.46 × 975.41
  4. Step 4: Simplify right side
    2,070.74x = 3,031,032.02
  5. Step 5: Solve for x
    x = 3,031,032.02/2,070.74
  6. Step 6: Final answer
    x = 1,463.75

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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.