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Finding the Fourth Proportional to 1,357.89, 1,875.21 and 1,160.25

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Solution

The fourth proportional to 1,357.89, 1,875.21 and 1,160.25 is: 1,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.89 : 1,875.21 = 1,160.25 : x
  2. Step 2: Convert to fraction form
    1,357.89/1,875.21 = 1,160.25/x
  3. Step 3: Cross multiply
    1,357.89x = 1,875.21 × 1,160.25
  4. Step 4: Simplify right side
    1,357.89x = 2,175,712.40
  5. Step 5: Solve for x
    x = 2,175,712.40/1,357.89
  6. Step 6: Final answer
    x = 1,602.27

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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.