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Finding the Fourth Proportional to 2,156.61, 2,975.06 and 1,410.60

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Solution

The fourth proportional to 2,156.61, 2,975.06 and 1,410.60 is: 1,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.61 : 2,975.06 = 1,410.60 : x
  2. Step 2: Convert to fraction form
    2,156.61/2,975.06 = 1,410.60/x
  3. Step 3: Cross multiply
    2,156.61x = 2,975.06 × 1,410.60
  4. Step 4: Simplify right side
    2,156.61x = 4,196,612.58
  5. Step 5: Solve for x
    x = 4,196,612.58/2,156.61
  6. Step 6: Final answer
    x = 1,945.93

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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.