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Finding the Fourth Proportional to 2,703.56, 4,055.72 and 971.80

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Solution

The fourth proportional to 2,703.56, 4,055.72 and 971.80 is: 1,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.56 : 4,055.72 = 971.80 : x
  2. Step 2: Convert to fraction form
    2,703.56/4,055.72 = 971.80/x
  3. Step 3: Cross multiply
    2,703.56x = 4,055.72 × 971.80
  4. Step 4: Simplify right side
    2,703.56x = 3,941,348.70
  5. Step 5: Solve for x
    x = 3,941,348.70/2,703.56
  6. Step 6: Final answer
    x = 1,457.84

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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.