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Finding the Fourth Proportional to 1,407.60, 1,943.10 and 883.50

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Solution

The fourth proportional to 1,407.60, 1,943.10 and 883.50 is: 1,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.60 : 1,943.10 = 883.50 : x
  2. Step 2: Convert to fraction form
    1,407.60/1,943.10 = 883.50/x
  3. Step 3: Cross multiply
    1,407.60x = 1,943.10 × 883.50
  4. Step 4: Simplify right side
    1,407.60x = 1,716,728.85
  5. Step 5: Solve for x
    x = 1,716,728.85/1,407.60
  6. Step 6: Final answer
    x = 1,219.61

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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.