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Finding the Fourth Proportional to 2,973.78, 4,460.13 and 999.45

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Solution

The fourth proportional to 2,973.78, 4,460.13 and 999.45 is: 1,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.78 : 4,460.13 = 999.45 : x
  2. Step 2: Convert to fraction form
    2,973.78/4,460.13 = 999.45/x
  3. Step 3: Cross multiply
    2,973.78x = 4,460.13 × 999.45
  4. Step 4: Simplify right side
    2,973.78x = 4,457,676.93
  5. Step 5: Solve for x
    x = 4,457,676.93/2,973.78
  6. Step 6: Final answer
    x = 1,498.99

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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.