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Finding the Fourth Proportional to 1,615.30, 2,228.93 and 907.00

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Solution

The fourth proportional to 1,615.30, 2,228.93 and 907.00 is: 1,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.30 : 2,228.93 = 907.00 : x
  2. Step 2: Convert to fraction form
    1,615.30/2,228.93 = 907.00/x
  3. Step 3: Cross multiply
    1,615.30x = 2,228.93 × 907.00
  4. Step 4: Simplify right side
    1,615.30x = 2,021,628.37
  5. Step 5: Solve for x
    x = 2,021,628.37/1,615.30
  6. Step 6: Final answer
    x = 1,251.55

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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.