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Finding the Fourth Proportional to 1,700.42, 2,346.71 and 954.63

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Solution

The fourth proportional to 1,700.42, 2,346.71 and 954.63 is: 1,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.42 : 2,346.71 = 954.63 : x
  2. Step 2: Convert to fraction form
    1,700.42/2,346.71 = 954.63/x
  3. Step 3: Cross multiply
    1,700.42x = 2,346.71 × 954.63
  4. Step 4: Simplify right side
    1,700.42x = 2,240,234.99
  5. Step 5: Solve for x
    x = 2,240,234.99/1,700.42
  6. Step 6: Final answer
    x = 1,317.46

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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.