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Finding the Fourth Proportional to 2,368.15, 3,547.68 and 1,324.99

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Solution

The fourth proportional to 2,368.15, 3,547.68 and 1,324.99 is: 1,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.15 : 3,547.68 = 1,324.99 : x
  2. Step 2: Convert to fraction form
    2,368.15/3,547.68 = 1,324.99/x
  3. Step 3: Cross multiply
    2,368.15x = 3,547.68 × 1,324.99
  4. Step 4: Simplify right side
    2,368.15x = 4,700,616.16
  5. Step 5: Solve for x
    x = 4,700,616.16/2,368.15
  6. Step 6: Final answer
    x = 1,984.93

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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.