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Finding the Fourth Proportional to 1,460.85, 2,199.08 and 1,310.16

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Solution

The fourth proportional to 1,460.85, 2,199.08 and 1,310.16 is: 1,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.85 : 2,199.08 = 1,310.16 : x
  2. Step 2: Convert to fraction form
    1,460.85/2,199.08 = 1,310.16/x
  3. Step 3: Cross multiply
    1,460.85x = 2,199.08 × 1,310.16
  4. Step 4: Simplify right side
    1,460.85x = 2,881,140.10
  5. Step 5: Solve for x
    x = 2,881,140.10/1,460.85
  6. Step 6: Final answer
    x = 1,972.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.