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Finding the Fourth Proportional to 2,370.33, 3,547.76 and 2,142.98

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Solution

The fourth proportional to 2,370.33, 3,547.76 and 2,142.98 is: 3,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.33 : 3,547.76 = 2,142.98 : x
  2. Step 2: Convert to fraction form
    2,370.33/3,547.76 = 2,142.98/x
  3. Step 3: Cross multiply
    2,370.33x = 3,547.76 × 2,142.98
  4. Step 4: Simplify right side
    2,370.33x = 7,602,763.58
  5. Step 5: Solve for x
    x = 7,602,763.58/2,370.33
  6. Step 6: Final answer
    x = 3,207.47

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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.