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Finding the Fourth Proportional to 2,341.63, 3,512.72 and 1,042.93

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Solution

The fourth proportional to 2,341.63, 3,512.72 and 1,042.93 is: 1,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.63 : 3,512.72 = 1,042.93 : x
  2. Step 2: Convert to fraction form
    2,341.63/3,512.72 = 1,042.93/x
  3. Step 3: Cross multiply
    2,341.63x = 3,512.72 × 1,042.93
  4. Step 4: Simplify right side
    2,341.63x = 3,663,521.07
  5. Step 5: Solve for x
    x = 3,663,521.07/2,341.63
  6. Step 6: Final answer
    x = 1,564.52

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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.