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Finding the Fourth Proportional to 2,429.18, 3,641.18 and 1,258.01

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Solution

The fourth proportional to 2,429.18, 3,641.18 and 1,258.01 is: 1,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.18 : 3,641.18 = 1,258.01 : x
  2. Step 2: Convert to fraction form
    2,429.18/3,641.18 = 1,258.01/x
  3. Step 3: Cross multiply
    2,429.18x = 3,641.18 × 1,258.01
  4. Step 4: Simplify right side
    2,429.18x = 4,580,616.36
  5. Step 5: Solve for x
    x = 4,580,616.36/2,429.18
  6. Step 6: Final answer
    x = 1,885.67

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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.