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Finding the Fourth Proportional to 1,771.72, 2,653.46 and 1,710.20

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Solution

The fourth proportional to 1,771.72, 2,653.46 and 1,710.20 is: 2,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.72 : 2,653.46 = 1,710.20 : x
  2. Step 2: Convert to fraction form
    1,771.72/2,653.46 = 1,710.20/x
  3. Step 3: Cross multiply
    1,771.72x = 2,653.46 × 1,710.20
  4. Step 4: Simplify right side
    1,771.72x = 4,537,947.29
  5. Step 5: Solve for x
    x = 4,537,947.29/1,771.72
  6. Step 6: Final answer
    x = 2,561.32

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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.