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Finding the Fourth Proportional to 1,580.48, 2,181.80 and 1,056.84

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Solution

The fourth proportional to 1,580.48, 2,181.80 and 1,056.84 is: 1,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.48 : 2,181.80 = 1,056.84 : x
  2. Step 2: Convert to fraction form
    1,580.48/2,181.80 = 1,056.84/x
  3. Step 3: Cross multiply
    1,580.48x = 2,181.80 × 1,056.84
  4. Step 4: Simplify right side
    1,580.48x = 2,305,813.51
  5. Step 5: Solve for x
    x = 2,305,813.51/1,580.48
  6. Step 6: Final answer
    x = 1,458.93

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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.