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Finding the Fourth Proportional to 2,455.04, 3,683.68 and 916.16

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Solution

The fourth proportional to 2,455.04, 3,683.68 and 916.16 is: 1,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.04 : 3,683.68 = 916.16 : x
  2. Step 2: Convert to fraction form
    2,455.04/3,683.68 = 916.16/x
  3. Step 3: Cross multiply
    2,455.04x = 3,683.68 × 916.16
  4. Step 4: Simplify right side
    2,455.04x = 3,374,840.27
  5. Step 5: Solve for x
    x = 3,374,840.27/2,455.04
  6. Step 6: Final answer
    x = 1,374.66

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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.