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Finding the Fourth Proportional to 2,976.54, 4,106.10 and 2,417.64

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Solution

The fourth proportional to 2,976.54, 4,106.10 and 2,417.64 is: 3,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.54 : 4,106.10 = 2,417.64 : x
  2. Step 2: Convert to fraction form
    2,976.54/4,106.10 = 2,417.64/x
  3. Step 3: Cross multiply
    2,976.54x = 4,106.10 × 2,417.64
  4. Step 4: Simplify right side
    2,976.54x = 9,927,071.60
  5. Step 5: Solve for x
    x = 9,927,071.60/2,976.54
  6. Step 6: Final answer
    x = 3,335.10

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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.