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Finding the Fourth Proportional to 1,875.42, 2,586.70 and 1,662.99

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Solution

The fourth proportional to 1,875.42, 2,586.70 and 1,662.99 is: 2,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.42 : 2,586.70 = 1,662.99 : x
  2. Step 2: Convert to fraction form
    1,875.42/2,586.70 = 1,662.99/x
  3. Step 3: Cross multiply
    1,875.42x = 2,586.70 × 1,662.99
  4. Step 4: Simplify right side
    1,875.42x = 4,301,656.23
  5. Step 5: Solve for x
    x = 4,301,656.23/1,875.42
  6. Step 6: Final answer
    x = 2,293.70

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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.