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Finding the Fourth Proportional to 2,415.71, 3,332.49 and 1,883.63

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Solution

The fourth proportional to 2,415.71, 3,332.49 and 1,883.63 is: 2,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.71 : 3,332.49 = 1,883.63 : x
  2. Step 2: Convert to fraction form
    2,415.71/3,332.49 = 1,883.63/x
  3. Step 3: Cross multiply
    2,415.71x = 3,332.49 × 1,883.63
  4. Step 4: Simplify right side
    2,415.71x = 6,277,178.14
  5. Step 5: Solve for x
    x = 6,277,178.14/2,415.71
  6. Step 6: Final answer
    x = 2,598.48

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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.