Home / 1,643.29-2,461.59-913.28

Finding the Fourth Proportional to 1,643.29, 2,461.59 and 913.28

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Solution

The fourth proportional to 1,643.29, 2,461.59 and 913.28 is: 1,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.29 : 2,461.59 = 913.28 : x
  2. Step 2: Convert to fraction form
    1,643.29/2,461.59 = 913.28/x
  3. Step 3: Cross multiply
    1,643.29x = 2,461.59 × 913.28
  4. Step 4: Simplify right side
    1,643.29x = 2,248,108.61
  5. Step 5: Solve for x
    x = 2,248,108.61/1,643.29
  6. Step 6: Final answer
    x = 1,368.06

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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.