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Finding the Fourth Proportional to 2,068.16, 2,854.10 and 1,124.00

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Solution

The fourth proportional to 2,068.16, 2,854.10 and 1,124.00 is: 1,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.16 : 2,854.10 = 1,124.00 : x
  2. Step 2: Convert to fraction form
    2,068.16/2,854.10 = 1,124.00/x
  3. Step 3: Cross multiply
    2,068.16x = 2,854.10 × 1,124.00
  4. Step 4: Simplify right side
    2,068.16x = 3,208,007.64
  5. Step 5: Solve for x
    x = 3,208,007.64/2,068.16
  6. Step 6: Final answer
    x = 1,551.14

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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.