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Finding the Fourth Proportional to 2,830.53, 4,245.90 and 1,075.26

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Solution

The fourth proportional to 2,830.53, 4,245.90 and 1,075.26 is: 1,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.53 : 4,245.90 = 1,075.26 : x
  2. Step 2: Convert to fraction form
    2,830.53/4,245.90 = 1,075.26/x
  3. Step 3: Cross multiply
    2,830.53x = 4,245.90 × 1,075.26
  4. Step 4: Simplify right side
    2,830.53x = 4,565,446.43
  5. Step 5: Solve for x
    x = 4,565,446.43/2,830.53
  6. Step 6: Final answer
    x = 1,612.93

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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.