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Finding the Fourth Proportional to 2,059.53, 2,841.03 and 1,312.17

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Solution

The fourth proportional to 2,059.53, 2,841.03 and 1,312.17 is: 1,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.53 : 2,841.03 = 1,312.17 : x
  2. Step 2: Convert to fraction form
    2,059.53/2,841.03 = 1,312.17/x
  3. Step 3: Cross multiply
    2,059.53x = 2,841.03 × 1,312.17
  4. Step 4: Simplify right side
    2,059.53x = 3,727,914.34
  5. Step 5: Solve for x
    x = 3,727,914.34/2,059.53
  6. Step 6: Final answer
    x = 1,810.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.