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Finding the Fourth Proportional to 1,567.76, 2,335.72 and 1,552.40

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Solution

The fourth proportional to 1,567.76, 2,335.72 and 1,552.40 is: 2,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.76 : 2,335.72 = 1,552.40 : x
  2. Step 2: Convert to fraction form
    1,567.76/2,335.72 = 1,552.40/x
  3. Step 3: Cross multiply
    1,567.76x = 2,335.72 × 1,552.40
  4. Step 4: Simplify right side
    1,567.76x = 3,625,971.73
  5. Step 5: Solve for x
    x = 3,625,971.73/1,567.76
  6. Step 6: Final answer
    x = 2,312.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.