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Finding the Fourth Proportional to 2,356.15, 3,535.59 and 969.63

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Solution

The fourth proportional to 2,356.15, 3,535.59 and 969.63 is: 1,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.15 : 3,535.59 = 969.63 : x
  2. Step 2: Convert to fraction form
    2,356.15/3,535.59 = 969.63/x
  3. Step 3: Cross multiply
    2,356.15x = 3,535.59 × 969.63
  4. Step 4: Simplify right side
    2,356.15x = 3,428,206.31
  5. Step 5: Solve for x
    x = 3,428,206.31/2,356.15
  6. Step 6: Final answer
    x = 1,455.00

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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.