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Finding the Fourth Proportional to 1,983.64, 2,970.60 and 1,365.61

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Solution

The fourth proportional to 1,983.64, 2,970.60 and 1,365.61 is: 2,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.64 : 2,970.60 = 1,365.61 : x
  2. Step 2: Convert to fraction form
    1,983.64/2,970.60 = 1,365.61/x
  3. Step 3: Cross multiply
    1,983.64x = 2,970.60 × 1,365.61
  4. Step 4: Simplify right side
    1,983.64x = 4,056,681.07
  5. Step 5: Solve for x
    x = 4,056,681.07/1,983.64
  6. Step 6: Final answer
    x = 2,045.07

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Why These Related Problems?

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