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Finding the Fourth Proportional to 2,530.88, 3,492.63 and 1,468.86

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Solution

The fourth proportional to 2,530.88, 3,492.63 and 1,468.86 is: 2,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.88 : 3,492.63 = 1,468.86 : x
  2. Step 2: Convert to fraction form
    2,530.88/3,492.63 = 1,468.86/x
  3. Step 3: Cross multiply
    2,530.88x = 3,492.63 × 1,468.86
  4. Step 4: Simplify right side
    2,530.88x = 5,130,159.69
  5. Step 5: Solve for x
    x = 5,130,159.69/2,530.88
  6. Step 6: Final answer
    x = 2,027.03

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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.