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Finding the Fourth Proportional to 2,978.07, 4,110.53 and 1,858.33

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Solution

The fourth proportional to 2,978.07, 4,110.53 and 1,858.33 is: 2,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.07 : 4,110.53 = 1,858.33 : x
  2. Step 2: Convert to fraction form
    2,978.07/4,110.53 = 1,858.33/x
  3. Step 3: Cross multiply
    2,978.07x = 4,110.53 × 1,858.33
  4. Step 4: Simplify right side
    2,978.07x = 7,638,729.57
  5. Step 5: Solve for x
    x = 7,638,729.57/2,978.07
  6. Step 6: Final answer
    x = 2,565.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.