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Finding the Fourth Proportional to 1,700.51, 2,346.70 and 954.47

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Solution

The fourth proportional to 1,700.51, 2,346.70 and 954.47 is: 1,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.51 : 2,346.70 = 954.47 : x
  2. Step 2: Convert to fraction form
    1,700.51/2,346.70 = 954.47/x
  3. Step 3: Cross multiply
    1,700.51x = 2,346.70 × 954.47
  4. Step 4: Simplify right side
    1,700.51x = 2,239,838.24
  5. Step 5: Solve for x
    x = 2,239,838.24/1,700.51
  6. Step 6: Final answer
    x = 1,317.16

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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.