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Finding the Fourth Proportional to 2,572.98, 3,858.54 and 929.10

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Solution

The fourth proportional to 2,572.98, 3,858.54 and 929.10 is: 1,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.98 : 3,858.54 = 929.10 : x
  2. Step 2: Convert to fraction form
    2,572.98/3,858.54 = 929.10/x
  3. Step 3: Cross multiply
    2,572.98x = 3,858.54 × 929.10
  4. Step 4: Simplify right side
    2,572.98x = 3,584,969.51
  5. Step 5: Solve for x
    x = 3,584,969.51/2,572.98
  6. Step 6: Final answer
    x = 1,393.31

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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.