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Finding the Fourth Proportional to 2,356.32, 3,535.02 and 1,057.08

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Solution

The fourth proportional to 2,356.32, 3,535.02 and 1,057.08 is: 1,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.32 : 3,535.02 = 1,057.08 : x
  2. Step 2: Convert to fraction form
    2,356.32/3,535.02 = 1,057.08/x
  3. Step 3: Cross multiply
    2,356.32x = 3,535.02 × 1,057.08
  4. Step 4: Simplify right side
    2,356.32x = 3,736,798.94
  5. Step 5: Solve for x
    x = 3,736,798.94/2,356.32
  6. Step 6: Final answer
    x = 1,585.86

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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.