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Finding the Fourth Proportional to 2,293.58, 3,165.64 and 1,507.70

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Solution

The fourth proportional to 2,293.58, 3,165.64 and 1,507.70 is: 2,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.58 : 3,165.64 = 1,507.70 : x
  2. Step 2: Convert to fraction form
    2,293.58/3,165.64 = 1,507.70/x
  3. Step 3: Cross multiply
    2,293.58x = 3,165.64 × 1,507.70
  4. Step 4: Simplify right side
    2,293.58x = 4,772,815.83
  5. Step 5: Solve for x
    x = 4,772,815.83/2,293.58
  6. Step 6: Final answer
    x = 2,080.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.