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Finding the Fourth Proportional to 2,925.84, 4,389.99 and 1,464.19

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Solution

The fourth proportional to 2,925.84, 4,389.99 and 1,464.19 is: 2,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.84 : 4,389.99 = 1,464.19 : x
  2. Step 2: Convert to fraction form
    2,925.84/4,389.99 = 1,464.19/x
  3. Step 3: Cross multiply
    2,925.84x = 4,389.99 × 1,464.19
  4. Step 4: Simplify right side
    2,925.84x = 6,427,779.46
  5. Step 5: Solve for x
    x = 6,427,779.46/2,925.84
  6. Step 6: Final answer
    x = 2,196.90

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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.