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Finding the Fourth Proportional to 1,740.63, 2,402.10 and 954.68

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Solution

The fourth proportional to 1,740.63, 2,402.10 and 954.68 is: 1,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.63 : 2,402.10 = 954.68 : x
  2. Step 2: Convert to fraction form
    1,740.63/2,402.10 = 954.68/x
  3. Step 3: Cross multiply
    1,740.63x = 2,402.10 × 954.68
  4. Step 4: Simplify right side
    1,740.63x = 2,293,224.82
  5. Step 5: Solve for x
    x = 2,293,224.82/1,740.63
  6. Step 6: Final answer
    x = 1,317.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.