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Finding the Fourth Proportional to 1,258.26, 1,885.32 and 1,210.26

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Solution

The fourth proportional to 1,258.26, 1,885.32 and 1,210.26 is: 1,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.26 : 1,885.32 = 1,210.26 : x
  2. Step 2: Convert to fraction form
    1,258.26/1,885.32 = 1,210.26/x
  3. Step 3: Cross multiply
    1,258.26x = 1,885.32 × 1,210.26
  4. Step 4: Simplify right side
    1,258.26x = 2,281,727.38
  5. Step 5: Solve for x
    x = 2,281,727.38/1,258.26
  6. Step 6: Final answer
    x = 1,813.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.