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Finding the Fourth Proportional to 2,237.58, 3,354 and 1,507.32

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Solution

The fourth proportional to 2,237.58, 3,354 and 1,507.32 is: 2,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.58 : 3,354 = 1,507.32 : x
  2. Step 2: Convert to fraction form
    2,237.58/3,354 = 1,507.32/x
  3. Step 3: Cross multiply
    2,237.58x = 3,354 × 1,507.32
  4. Step 4: Simplify right side
    2,237.58x = 5,055,551.28
  5. Step 5: Solve for x
    x = 5,055,551.28/2,237.58
  6. Step 6: Final answer
    x = 2,259.38

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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.