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Finding the Fourth Proportional to 2,196.78, 3,032.64 and 1,492.32

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Solution

The fourth proportional to 2,196.78, 3,032.64 and 1,492.32 is: 2,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.78 : 3,032.64 = 1,492.32 : x
  2. Step 2: Convert to fraction form
    2,196.78/3,032.64 = 1,492.32/x
  3. Step 3: Cross multiply
    2,196.78x = 3,032.64 × 1,492.32
  4. Step 4: Simplify right side
    2,196.78x = 4,525,669.32
  5. Step 5: Solve for x
    x = 4,525,669.32/2,196.78
  6. Step 6: Final answer
    x = 2,060.14

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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.