Home / 1,655.30-2,284.37-947.26

Finding the Fourth Proportional to 1,655.30, 2,284.37 and 947.26

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Solution

The fourth proportional to 1,655.30, 2,284.37 and 947.26 is: 1,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.30 : 2,284.37 = 947.26 : x
  2. Step 2: Convert to fraction form
    1,655.30/2,284.37 = 947.26/x
  3. Step 3: Cross multiply
    1,655.30x = 2,284.37 × 947.26
  4. Step 4: Simplify right side
    1,655.30x = 2,163,892.33
  5. Step 5: Solve for x
    x = 2,163,892.33/1,655.30
  6. Step 6: Final answer
    x = 1,307.25

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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.