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Finding the Fourth Proportional to 1,733.48, 2,597.48 and 1,407.26

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Solution

The fourth proportional to 1,733.48, 2,597.48 and 1,407.26 is: 2,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.48 : 2,597.48 = 1,407.26 : x
  2. Step 2: Convert to fraction form
    1,733.48/2,597.48 = 1,407.26/x
  3. Step 3: Cross multiply
    1,733.48x = 2,597.48 × 1,407.26
  4. Step 4: Simplify right side
    1,733.48x = 3,655,320.24
  5. Step 5: Solve for x
    x = 3,655,320.24/1,733.48
  6. Step 6: Final answer
    x = 2,108.66

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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.