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Finding the Fourth Proportional to 2,276.64, 3,416.04 and 1,354.02

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Solution

The fourth proportional to 2,276.64, 3,416.04 and 1,354.02 is: 2,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.64 : 3,416.04 = 1,354.02 : x
  2. Step 2: Convert to fraction form
    2,276.64/3,416.04 = 1,354.02/x
  3. Step 3: Cross multiply
    2,276.64x = 3,416.04 × 1,354.02
  4. Step 4: Simplify right side
    2,276.64x = 4,625,373.67
  5. Step 5: Solve for x
    x = 4,625,373.67/2,276.64
  6. Step 6: Final answer
    x = 2,031.67

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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.