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Finding the Fourth Proportional to 2,459.66, 3,688.13 and 977.38

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Solution

The fourth proportional to 2,459.66, 3,688.13 and 977.38 is: 1,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.66 : 3,688.13 = 977.38 : x
  2. Step 2: Convert to fraction form
    2,459.66/3,688.13 = 977.38/x
  3. Step 3: Cross multiply
    2,459.66x = 3,688.13 × 977.38
  4. Step 4: Simplify right side
    2,459.66x = 3,604,704.50
  5. Step 5: Solve for x
    x = 3,604,704.50/2,459.66
  6. Step 6: Final answer
    x = 1,465.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.