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Finding the Fourth Proportional to 3,053.87, 4,581.13 and 973.38

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Solution

The fourth proportional to 3,053.87, 4,581.13 and 973.38 is: 1,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.87 : 4,581.13 = 973.38 : x
  2. Step 2: Convert to fraction form
    3,053.87/4,581.13 = 973.38/x
  3. Step 3: Cross multiply
    3,053.87x = 4,581.13 × 973.38
  4. Step 4: Simplify right side
    3,053.87x = 4,459,175.45
  5. Step 5: Solve for x
    x = 4,459,175.45/3,053.87
  6. Step 6: Final answer
    x = 1,460.17

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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.