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Finding the Fourth Proportional to 2,355.07, 3,248.16 and 1,646.68

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Solution

The fourth proportional to 2,355.07, 3,248.16 and 1,646.68 is: 2,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.07 : 3,248.16 = 1,646.68 : x
  2. Step 2: Convert to fraction form
    2,355.07/3,248.16 = 1,646.68/x
  3. Step 3: Cross multiply
    2,355.07x = 3,248.16 × 1,646.68
  4. Step 4: Simplify right side
    2,355.07x = 5,348,680.11
  5. Step 5: Solve for x
    x = 5,348,680.11/2,355.07
  6. Step 6: Final answer
    x = 2,271.13

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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.