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Finding the Fourth Proportional to 2,681.46, 3,700.58 and 1,502.60

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Solution

The fourth proportional to 2,681.46, 3,700.58 and 1,502.60 is: 2,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.46 : 3,700.58 = 1,502.60 : x
  2. Step 2: Convert to fraction form
    2,681.46/3,700.58 = 1,502.60/x
  3. Step 3: Cross multiply
    2,681.46x = 3,700.58 × 1,502.60
  4. Step 4: Simplify right side
    2,681.46x = 5,560,465.49
  5. Step 5: Solve for x
    x = 5,560,465.49/2,681.46
  6. Step 6: Final answer
    x = 2,073.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.