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Finding the Fourth Proportional to 2,710.83, 3,741.35 and 1,716.20

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Solution

The fourth proportional to 2,710.83, 3,741.35 and 1,716.20 is: 2,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.83 : 3,741.35 = 1,716.20 : x
  2. Step 2: Convert to fraction form
    2,710.83/3,741.35 = 1,716.20/x
  3. Step 3: Cross multiply
    2,710.83x = 3,741.35 × 1,716.20
  4. Step 4: Simplify right side
    2,710.83x = 6,420,898.08
  5. Step 5: Solve for x
    x = 6,420,898.08/2,710.83
  6. Step 6: Final answer
    x = 2,368.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.