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Finding the Fourth Proportional to 2,140.10, 2,955 and 1,641.95

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Solution

The fourth proportional to 2,140.10, 2,955 and 1,641.95 is: 2,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.10 : 2,955 = 1,641.95 : x
  2. Step 2: Convert to fraction form
    2,140.10/2,955 = 1,641.95/x
  3. Step 3: Cross multiply
    2,140.10x = 2,955 × 1,641.95
  4. Step 4: Simplify right side
    2,140.10x = 4,851,962.25
  5. Step 5: Solve for x
    x = 4,851,962.25/2,140.10
  6. Step 6: Final answer
    x = 2,267.17

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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.