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Finding the Fourth Proportional to 1,530.36, 2,295.38 and 750.06

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Solution

The fourth proportional to 1,530.36, 2,295.38 and 750.06 is: 1,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.36 : 2,295.38 = 750.06 : x
  2. Step 2: Convert to fraction form
    1,530.36/2,295.38 = 750.06/x
  3. Step 3: Cross multiply
    1,530.36x = 2,295.38 × 750.06
  4. Step 4: Simplify right side
    1,530.36x = 1,721,672.72
  5. Step 5: Solve for x
    x = 1,721,672.72/1,530.36
  6. Step 6: Final answer
    x = 1,125.01

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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.