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Finding the Fourth Proportional to 2,480.40, 3,688.02 and 2,415.60

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Solution

The fourth proportional to 2,480.40, 3,688.02 and 2,415.60 is: 3,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.40 : 3,688.02 = 2,415.60 : x
  2. Step 2: Convert to fraction form
    2,480.40/3,688.02 = 2,415.60/x
  3. Step 3: Cross multiply
    2,480.40x = 3,688.02 × 2,415.60
  4. Step 4: Simplify right side
    2,480.40x = 8,908,781.11
  5. Step 5: Solve for x
    x = 8,908,781.11/2,480.40
  6. Step 6: Final answer
    x = 3,591.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.