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Finding the Fourth Proportional to 2,713.54, 4,070.09 and 1,070.10

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Solution

The fourth proportional to 2,713.54, 4,070.09 and 1,070.10 is: 1,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.54 : 4,070.09 = 1,070.10 : x
  2. Step 2: Convert to fraction form
    2,713.54/4,070.09 = 1,070.10/x
  3. Step 3: Cross multiply
    2,713.54x = 4,070.09 × 1,070.10
  4. Step 4: Simplify right side
    2,713.54x = 4,355,403.31
  5. Step 5: Solve for x
    x = 4,355,403.31/2,713.54
  6. Step 6: Final answer
    x = 1,605.06

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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.