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Finding the Fourth Proportional to 2,354.45, 3,530.93 and 1,314.95

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Solution

The fourth proportional to 2,354.45, 3,530.93 and 1,314.95 is: 1,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.45 : 3,530.93 = 1,314.95 : x
  2. Step 2: Convert to fraction form
    2,354.45/3,530.93 = 1,314.95/x
  3. Step 3: Cross multiply
    2,354.45x = 3,530.93 × 1,314.95
  4. Step 4: Simplify right side
    2,354.45x = 4,642,972.17
  5. Step 5: Solve for x
    x = 4,642,972.17/2,354.45
  6. Step 6: Final answer
    x = 1,972.00

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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.