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Finding the Fourth Proportional to 2,666.25, 3,678.62 and 1,672.52

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Solution

The fourth proportional to 2,666.25, 3,678.62 and 1,672.52 is: 2,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.25 : 3,678.62 = 1,672.52 : x
  2. Step 2: Convert to fraction form
    2,666.25/3,678.62 = 1,672.52/x
  3. Step 3: Cross multiply
    2,666.25x = 3,678.62 × 1,672.52
  4. Step 4: Simplify right side
    2,666.25x = 6,152,538.77
  5. Step 5: Solve for x
    x = 6,152,538.77/2,666.25
  6. Step 6: Final answer
    x = 2,307.56

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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.