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Finding the Fourth Proportional to 1,510.35, 2,263.05 and 1,200.57

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Solution

The fourth proportional to 1,510.35, 2,263.05 and 1,200.57 is: 1,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.35 : 2,263.05 = 1,200.57 : x
  2. Step 2: Convert to fraction form
    1,510.35/2,263.05 = 1,200.57/x
  3. Step 3: Cross multiply
    1,510.35x = 2,263.05 × 1,200.57
  4. Step 4: Simplify right side
    1,510.35x = 2,716,949.94
  5. Step 5: Solve for x
    x = 2,716,949.94/1,510.35
  6. Step 6: Final answer
    x = 1,798.89

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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.