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Finding the Fourth Proportional to 2,952.25, 4,074.51 and 1,710.25

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Solution

The fourth proportional to 2,952.25, 4,074.51 and 1,710.25 is: 2,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.25 : 4,074.51 = 1,710.25 : x
  2. Step 2: Convert to fraction form
    2,952.25/4,074.51 = 1,710.25/x
  3. Step 3: Cross multiply
    2,952.25x = 4,074.51 × 1,710.25
  4. Step 4: Simplify right side
    2,952.25x = 6,968,430.73
  5. Step 5: Solve for x
    x = 6,968,430.73/2,952.25
  6. Step 6: Final answer
    x = 2,360.38

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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.