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Finding the Fourth Proportional to 1,356.78, 2,030.56 and 1,050.00

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Solution

The fourth proportional to 1,356.78, 2,030.56 and 1,050.00 is: 1,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.78 : 2,030.56 = 1,050.00 : x
  2. Step 2: Convert to fraction form
    1,356.78/2,030.56 = 1,050.00/x
  3. Step 3: Cross multiply
    1,356.78x = 2,030.56 × 1,050.00
  4. Step 4: Simplify right side
    1,356.78x = 2,132,097.85
  5. Step 5: Solve for x
    x = 2,132,097.85/1,356.78
  6. Step 6: Final answer
    x = 1,571.44

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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.