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Finding the Fourth Proportional to 1,355.60, 1,868.04 and 1,005.68

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Solution

The fourth proportional to 1,355.60, 1,868.04 and 1,005.68 is: 1,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.60 : 1,868.04 = 1,005.68 : x
  2. Step 2: Convert to fraction form
    1,355.60/1,868.04 = 1,005.68/x
  3. Step 3: Cross multiply
    1,355.60x = 1,868.04 × 1,005.68
  4. Step 4: Simplify right side
    1,355.60x = 1,878,650.47
  5. Step 5: Solve for x
    x = 1,878,650.47/1,355.60
  6. Step 6: Final answer
    x = 1,385.84

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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.