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Finding the Fourth Proportional to 2,368.71, 3,548.61 and 1,783.89

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Solution

The fourth proportional to 2,368.71, 3,548.61 and 1,783.89 is: 2,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.71 : 3,548.61 = 1,783.89 : x
  2. Step 2: Convert to fraction form
    2,368.71/3,548.61 = 1,783.89/x
  3. Step 3: Cross multiply
    2,368.71x = 3,548.61 × 1,783.89
  4. Step 4: Simplify right side
    2,368.71x = 6,330,329.89
  5. Step 5: Solve for x
    x = 6,330,329.89/2,368.71
  6. Step 6: Final answer
    x = 2,672.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.