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Finding the Fourth Proportional to 1,503.10, 2,254.65 and 1,311.10

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Solution

The fourth proportional to 1,503.10, 2,254.65 and 1,311.10 is: 1,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.10 : 2,254.65 = 1,311.10 : x
  2. Step 2: Convert to fraction form
    1,503.10/2,254.65 = 1,311.10/x
  3. Step 3: Cross multiply
    1,503.10x = 2,254.65 × 1,311.10
  4. Step 4: Simplify right side
    1,503.10x = 2,956,071.62
  5. Step 5: Solve for x
    x = 2,956,071.62/1,503.10
  6. Step 6: Final answer
    x = 1,966.65

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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.