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Finding the Fourth Proportional to 2,952.24, 4,072.80 and 1,772.63

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Solution

The fourth proportional to 2,952.24, 4,072.80 and 1,772.63 is: 2,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.24 : 4,072.80 = 1,772.63 : x
  2. Step 2: Convert to fraction form
    2,952.24/4,072.80 = 1,772.63/x
  3. Step 3: Cross multiply
    2,952.24x = 4,072.80 × 1,772.63
  4. Step 4: Simplify right side
    2,952.24x = 7,219,547.10
  5. Step 5: Solve for x
    x = 7,219,547.10/2,952.24
  6. Step 6: Final answer
    x = 2,445.45

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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.