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Finding the Fourth Proportional to 2,952.18, 4,074.21 and 1,710.18

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Solution

The fourth proportional to 2,952.18, 4,074.21 and 1,710.18 is: 2,360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.18 : 4,074.21 = 1,710.18 : x
  2. Step 2: Convert to fraction form
    2,952.18/4,074.21 = 1,710.18/x
  3. Step 3: Cross multiply
    2,952.18x = 4,074.21 × 1,710.18
  4. Step 4: Simplify right side
    2,952.18x = 6,967,632.46
  5. Step 5: Solve for x
    x = 6,967,632.46/2,952.18
  6. Step 6: Final answer
    x = 2,360.17

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