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Finding the Fourth Proportional to 1,255.16, 1,875.32 and 1,212.10

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Solution

The fourth proportional to 1,255.16, 1,875.32 and 1,212.10 is: 1,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.16 : 1,875.32 = 1,212.10 : x
  2. Step 2: Convert to fraction form
    1,255.16/1,875.32 = 1,212.10/x
  3. Step 3: Cross multiply
    1,255.16x = 1,875.32 × 1,212.10
  4. Step 4: Simplify right side
    1,255.16x = 2,273,069.17
  5. Step 5: Solve for x
    x = 2,273,069.17/1,255.16
  6. Step 6: Final answer
    x = 1,810.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.