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Finding the Fourth Proportional to 1,733.95, 2,597.03 and 1,341.19

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Solution

The fourth proportional to 1,733.95, 2,597.03 and 1,341.19 is: 2,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.95 : 2,597.03 = 1,341.19 : x
  2. Step 2: Convert to fraction form
    1,733.95/2,597.03 = 1,341.19/x
  3. Step 3: Cross multiply
    1,733.95x = 2,597.03 × 1,341.19
  4. Step 4: Simplify right side
    1,733.95x = 3,483,090.97
  5. Step 5: Solve for x
    x = 3,483,090.97/1,733.95
  6. Step 6: Final answer
    x = 2,008.77

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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.