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Finding the Fourth Proportional to 1,530.04, 2,293.92 and 761.08

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Solution

The fourth proportional to 1,530.04, 2,293.92 and 761.08 is: 1,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.04 : 2,293.92 = 761.08 : x
  2. Step 2: Convert to fraction form
    1,530.04/2,293.92 = 761.08/x
  3. Step 3: Cross multiply
    1,530.04x = 2,293.92 × 761.08
  4. Step 4: Simplify right side
    1,530.04x = 1,745,856.63
  5. Step 5: Solve for x
    x = 1,745,856.63/1,530.04
  6. Step 6: Final answer
    x = 1,141.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.