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Finding the Fourth Proportional to 1,735.74, 2,603.61 and 581.49

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Solution

The fourth proportional to 1,735.74, 2,603.61 and 581.49 is: 872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.74 : 2,603.61 = 581.49 : x
  2. Step 2: Convert to fraction form
    1,735.74/2,603.61 = 581.49/x
  3. Step 3: Cross multiply
    1,735.74x = 2,603.61 × 581.49
  4. Step 4: Simplify right side
    1,735.74x = 1,513,973.18
  5. Step 5: Solve for x
    x = 1,513,973.18/1,735.74
  6. Step 6: Final answer
    x = 872.24

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1.5x scale

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.