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Finding the Fourth Proportional to 2,364.59, 3,547.33 and 1,131.17

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Solution

The fourth proportional to 2,364.59, 3,547.33 and 1,131.17 is: 1,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.59 : 3,547.33 = 1,131.17 : x
  2. Step 2: Convert to fraction form
    2,364.59/3,547.33 = 1,131.17/x
  3. Step 3: Cross multiply
    2,364.59x = 3,547.33 × 1,131.17
  4. Step 4: Simplify right side
    2,364.59x = 4,012,612.71
  5. Step 5: Solve for x
    x = 4,012,612.71/2,364.59
  6. Step 6: Final answer
    x = 1,696.96

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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.