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Finding the Fourth Proportional to 1,852.60, 2,557.48 and 1,056.06

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Solution

The fourth proportional to 1,852.60, 2,557.48 and 1,056.06 is: 1,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.60 : 2,557.48 = 1,056.06 : x
  2. Step 2: Convert to fraction form
    1,852.60/2,557.48 = 1,056.06/x
  3. Step 3: Cross multiply
    1,852.60x = 2,557.48 × 1,056.06
  4. Step 4: Simplify right side
    1,852.60x = 2,700,852.33
  5. Step 5: Solve for x
    x = 2,700,852.33/1,852.60
  6. Step 6: Final answer
    x = 1,457.87

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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.