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Finding the Fourth Proportional to 2,901.78, 4,004.57 and 1,782.50

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Solution

The fourth proportional to 2,901.78, 4,004.57 and 1,782.50 is: 2,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.78 : 4,004.57 = 1,782.50 : x
  2. Step 2: Convert to fraction form
    2,901.78/4,004.57 = 1,782.50/x
  3. Step 3: Cross multiply
    2,901.78x = 4,004.57 × 1,782.50
  4. Step 4: Simplify right side
    2,901.78x = 7,138,130.46
  5. Step 5: Solve for x
    x = 7,138,130.46/2,901.78
  6. Step 6: Final answer
    x = 2,459.91

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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.