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Finding the Fourth Proportional to 1,925.76, 2,657.70 and 1,140.24

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Solution

The fourth proportional to 1,925.76, 2,657.70 and 1,140.24 is: 1,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.76 : 2,657.70 = 1,140.24 : x
  2. Step 2: Convert to fraction form
    1,925.76/2,657.70 = 1,140.24/x
  3. Step 3: Cross multiply
    1,925.76x = 2,657.70 × 1,140.24
  4. Step 4: Simplify right side
    1,925.76x = 3,030,415.85
  5. Step 5: Solve for x
    x = 3,030,415.85/1,925.76
  6. Step 6: Final answer
    x = 1,573.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.