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Finding the Fourth Proportional to 2,303.61, 3,455.40 and 916.57

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Solution

The fourth proportional to 2,303.61, 3,455.40 and 916.57 is: 1,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.61 : 3,455.40 = 916.57 : x
  2. Step 2: Convert to fraction form
    2,303.61/3,455.40 = 916.57/x
  3. Step 3: Cross multiply
    2,303.61x = 3,455.40 × 916.57
  4. Step 4: Simplify right side
    2,303.61x = 3,167,115.98
  5. Step 5: Solve for x
    x = 3,167,115.98/2,303.61
  6. Step 6: Final answer
    x = 1,374.85

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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.