Home / 1,607.64-2,218.29-977.83

Finding the Fourth Proportional to 1,607.64, 2,218.29 and 977.83

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Solution

The fourth proportional to 1,607.64, 2,218.29 and 977.83 is: 1,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.64 : 2,218.29 = 977.83 : x
  2. Step 2: Convert to fraction form
    1,607.64/2,218.29 = 977.83/x
  3. Step 3: Cross multiply
    1,607.64x = 2,218.29 × 977.83
  4. Step 4: Simplify right side
    1,607.64x = 2,169,110.51
  5. Step 5: Solve for x
    x = 2,169,110.51/1,607.64
  6. Step 6: Final answer
    x = 1,349.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.