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Finding the Fourth Proportional to 1,917.40, 2,875.14 and 684.63

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Solution

The fourth proportional to 1,917.40, 2,875.14 and 684.63 is: 1,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.40 : 2,875.14 = 684.63 : x
  2. Step 2: Convert to fraction form
    1,917.40/2,875.14 = 684.63/x
  3. Step 3: Cross multiply
    1,917.40x = 2,875.14 × 684.63
  4. Step 4: Simplify right side
    1,917.40x = 1,968,407.10
  5. Step 5: Solve for x
    x = 1,968,407.10/1,917.40
  6. Step 6: Final answer
    x = 1,026.60

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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.