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Finding the Fourth Proportional to 1,260.16, 1,897.85 and 1,124.44

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Solution

The fourth proportional to 1,260.16, 1,897.85 and 1,124.44 is: 1,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.16 : 1,897.85 = 1,124.44 : x
  2. Step 2: Convert to fraction form
    1,260.16/1,897.85 = 1,124.44/x
  3. Step 3: Cross multiply
    1,260.16x = 1,897.85 × 1,124.44
  4. Step 4: Simplify right side
    1,260.16x = 2,134,018.45
  5. Step 5: Solve for x
    x = 2,134,018.45/1,260.16
  6. Step 6: Final answer
    x = 1,693.45

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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.