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Finding the Fourth Proportional to 1,701.54, 2,349 and 1,455.50

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Solution

The fourth proportional to 1,701.54, 2,349 and 1,455.50 is: 2,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.54 : 2,349 = 1,455.50 : x
  2. Step 2: Convert to fraction form
    1,701.54/2,349 = 1,455.50/x
  3. Step 3: Cross multiply
    1,701.54x = 2,349 × 1,455.50
  4. Step 4: Simplify right side
    1,701.54x = 3,418,975.37
  5. Step 5: Solve for x
    x = 3,418,975.37/1,701.54
  6. Step 6: Final answer
    x = 2,009.34

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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.