Home / 1,733.04-2,585.83-1,628

Finding the Fourth Proportional to 1,733.04, 2,585.83 and 1,628

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Solution

The fourth proportional to 1,733.04, 2,585.83 and 1,628 is: 2,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.04 : 2,585.83 = 1,628 : x
  2. Step 2: Convert to fraction form
    1,733.04/2,585.83 = 1,628/x
  3. Step 3: Cross multiply
    1,733.04x = 2,585.83 × 1,628
  4. Step 4: Simplify right side
    1,733.04x = 4,209,731.24
  5. Step 5: Solve for x
    x = 4,209,731.24/1,733.04
  6. Step 6: Final answer
    x = 2,429.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.