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Finding the Fourth Proportional to 2,068.64, 2,854.28 and 1,312.68

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Solution

The fourth proportional to 2,068.64, 2,854.28 and 1,312.68 is: 1,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.64 : 2,854.28 = 1,312.68 : x
  2. Step 2: Convert to fraction form
    2,068.64/2,854.28 = 1,312.68/x
  3. Step 3: Cross multiply
    2,068.64x = 2,854.28 × 1,312.68
  4. Step 4: Simplify right side
    2,068.64x = 3,746,756.27
  5. Step 5: Solve for x
    x = 3,746,756.27/2,068.64
  6. Step 6: Final answer
    x = 1,811.22

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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.