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Finding the Fourth Proportional to 2,530.98, 3,492.72 and 1,784.16

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Solution

The fourth proportional to 2,530.98, 3,492.72 and 1,784.16 is: 2,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.98 : 3,492.72 = 1,784.16 : x
  2. Step 2: Convert to fraction form
    2,530.98/3,492.72 = 1,784.16/x
  3. Step 3: Cross multiply
    2,530.98x = 3,492.72 × 1,784.16
  4. Step 4: Simplify right side
    2,530.98x = 6,231,571.32
  5. Step 5: Solve for x
    x = 6,231,571.32/2,530.98
  6. Step 6: Final answer
    x = 2,462.12

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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.