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Finding the Fourth Proportional to 1,810.34, 2,495.85 and 1,438.55

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Solution

The fourth proportional to 1,810.34, 2,495.85 and 1,438.55 is: 1,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.34 : 2,495.85 = 1,438.55 : x
  2. Step 2: Convert to fraction form
    1,810.34/2,495.85 = 1,438.55/x
  3. Step 3: Cross multiply
    1,810.34x = 2,495.85 × 1,438.55
  4. Step 4: Simplify right side
    1,810.34x = 3,590,405.02
  5. Step 5: Solve for x
    x = 3,590,405.02/1,810.34
  6. Step 6: Final answer
    x = 1,983.28

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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.