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Finding the Fourth Proportional to 2,952.16, 4,075.70 and 1,833.70

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Solution

The fourth proportional to 2,952.16, 4,075.70 and 1,833.70 is: 2,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.16 : 4,075.70 = 1,833.70 : x
  2. Step 2: Convert to fraction form
    2,952.16/4,075.70 = 1,833.70/x
  3. Step 3: Cross multiply
    2,952.16x = 4,075.70 × 1,833.70
  4. Step 4: Simplify right side
    2,952.16x = 7,473,611.09
  5. Step 5: Solve for x
    x = 7,473,611.09/2,952.16
  6. Step 6: Final answer
    x = 2,531.57

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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.