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Finding the Fourth Proportional to 3,053.31, 4,580.43 and 973.32

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Solution

The fourth proportional to 3,053.31, 4,580.43 and 973.32 is: 1,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.31 : 4,580.43 = 973.32 : x
  2. Step 2: Convert to fraction form
    3,053.31/4,580.43 = 973.32/x
  3. Step 3: Cross multiply
    3,053.31x = 4,580.43 × 973.32
  4. Step 4: Simplify right side
    3,053.31x = 4,458,224.13
  5. Step 5: Solve for x
    x = 4,458,224.13/3,053.31
  6. Step 6: Final answer
    x = 1,460.13

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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.