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Finding the Fourth Proportional to 3,054.03, 4,581.38 and 973.31

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Solution

The fourth proportional to 3,054.03, 4,581.38 and 973.31 is: 1,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.03 : 4,581.38 = 973.31 : x
  2. Step 2: Convert to fraction form
    3,054.03/4,581.38 = 973.31/x
  3. Step 3: Cross multiply
    3,054.03x = 4,581.38 × 973.31
  4. Step 4: Simplify right side
    3,054.03x = 4,459,075.19
  5. Step 5: Solve for x
    x = 4,459,075.19/3,054.03
  6. Step 6: Final answer
    x = 1,460.06

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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.