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Finding the Fourth Proportional to 2,973.51, 4,460.13 and 1,242

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Solution

The fourth proportional to 2,973.51, 4,460.13 and 1,242 is: 1,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.51 : 4,460.13 = 1,242 : x
  2. Step 2: Convert to fraction form
    2,973.51/4,460.13 = 1,242/x
  3. Step 3: Cross multiply
    2,973.51x = 4,460.13 × 1,242
  4. Step 4: Simplify right side
    2,973.51x = 5,539,481.46
  5. Step 5: Solve for x
    x = 5,539,481.46/2,973.51
  6. Step 6: Final answer
    x = 1,862.94

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