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Finding the Fourth Proportional to 2,196, 3,030.48 and 1,264.48

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Solution

The fourth proportional to 2,196, 3,030.48 and 1,264.48 is: 1,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196 : 3,030.48 = 1,264.48 : x
  2. Step 2: Convert to fraction form
    2,196/3,030.48 = 1,264.48/x
  3. Step 3: Cross multiply
    2,196x = 3,030.48 × 1,264.48
  4. Step 4: Simplify right side
    2,196x = 3,831,981.35
  5. Step 5: Solve for x
    x = 3,831,981.35/2,196
  6. Step 6: Final answer
    x = 1,744.98

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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.