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Finding the Fourth Proportional to 2,047.23, 3,070.85 and 951

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Solution

The fourth proportional to 2,047.23, 3,070.85 and 951 is: 1,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.23 : 3,070.85 = 951 : x
  2. Step 2: Convert to fraction form
    2,047.23/3,070.85 = 951/x
  3. Step 3: Cross multiply
    2,047.23x = 3,070.85 × 951
  4. Step 4: Simplify right side
    2,047.23x = 2,920,373.60
  5. Step 5: Solve for x
    x = 2,920,373.60/2,047.23
  6. Step 6: Final answer
    x = 1,426.50

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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.