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Finding the Fourth Proportional to 1,293.06, 1,935.93 and 945.30

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Solution

The fourth proportional to 1,293.06, 1,935.93 and 945.30 is: 1,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.06 : 1,935.93 = 945.30 : x
  2. Step 2: Convert to fraction form
    1,293.06/1,935.93 = 945.30/x
  3. Step 3: Cross multiply
    1,293.06x = 1,935.93 × 945.30
  4. Step 4: Simplify right side
    1,293.06x = 1,830,034.63
  5. Step 5: Solve for x
    x = 1,830,034.63/1,293.06
  6. Step 6: Final answer
    x = 1,415.27

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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.