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Finding the Fourth Proportional to 1,810.45, 2,500.62 and 1,312.30

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Solution

The fourth proportional to 1,810.45, 2,500.62 and 1,312.30 is: 1,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.45 : 2,500.62 = 1,312.30 : x
  2. Step 2: Convert to fraction form
    1,810.45/2,500.62 = 1,312.30/x
  3. Step 3: Cross multiply
    1,810.45x = 2,500.62 × 1,312.30
  4. Step 4: Simplify right side
    1,810.45x = 3,281,563.63
  5. Step 5: Solve for x
    x = 3,281,563.63/1,810.45
  6. Step 6: Final answer
    x = 1,812.57

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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.