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Finding the Fourth Proportional to 1,507.51, 2,264.73 and 891.64

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Solution

The fourth proportional to 1,507.51, 2,264.73 and 891.64 is: 1,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.51 : 2,264.73 = 891.64 : x
  2. Step 2: Convert to fraction form
    1,507.51/2,264.73 = 891.64/x
  3. Step 3: Cross multiply
    1,507.51x = 2,264.73 × 891.64
  4. Step 4: Simplify right side
    1,507.51x = 2,019,323.34
  5. Step 5: Solve for x
    x = 2,019,323.34/1,507.51
  6. Step 6: Final answer
    x = 1,339.51

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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.