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Finding the Fourth Proportional to 2,370.52, 3,569.65 and 1,758.58

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Solution

The fourth proportional to 2,370.52, 3,569.65 and 1,758.58 is: 2,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.52 : 3,569.65 = 1,758.58 : x
  2. Step 2: Convert to fraction form
    2,370.52/3,569.65 = 1,758.58/x
  3. Step 3: Cross multiply
    2,370.52x = 3,569.65 × 1,758.58
  4. Step 4: Simplify right side
    2,370.52x = 6,277,515.10
  5. Step 5: Solve for x
    x = 6,277,515.10/2,370.52
  6. Step 6: Final answer
    x = 2,648.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.