Home / 1,983.16-2,969.70-1,657.72

Finding the Fourth Proportional to 1,983.16, 2,969.70 and 1,657.72

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Solution

The fourth proportional to 1,983.16, 2,969.70 and 1,657.72 is: 2,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.16 : 2,969.70 = 1,657.72 : x
  2. Step 2: Convert to fraction form
    1,983.16/2,969.70 = 1,657.72/x
  3. Step 3: Cross multiply
    1,983.16x = 2,969.70 × 1,657.72
  4. Step 4: Simplify right side
    1,983.16x = 4,922,931.08
  5. Step 5: Solve for x
    x = 4,922,931.08/1,983.16
  6. Step 6: Final answer
    x = 2,482.37

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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.