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Finding the Fourth Proportional to 2,047.85, 3,070.98 and 877.12

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Solution

The fourth proportional to 2,047.85, 3,070.98 and 877.12 is: 1,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.85 : 3,070.98 = 877.12 : x
  2. Step 2: Convert to fraction form
    2,047.85/3,070.98 = 877.12/x
  3. Step 3: Cross multiply
    2,047.85x = 3,070.98 × 877.12
  4. Step 4: Simplify right side
    2,047.85x = 2,693,617.98
  5. Step 5: Solve for x
    x = 2,693,617.98/2,047.85
  6. Step 6: Final answer
    x = 1,315.34

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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.