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Finding the Fourth Proportional to 2,085.47, 2,875.99 and 1,526.42

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Solution

The fourth proportional to 2,085.47, 2,875.99 and 1,526.42 is: 2,105.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.47 : 2,875.99 = 1,526.42 : x
  2. Step 2: Convert to fraction form
    2,085.47/2,875.99 = 1,526.42/x
  3. Step 3: Cross multiply
    2,085.47x = 2,875.99 × 1,526.42
  4. Step 4: Simplify right side
    2,085.47x = 4,389,946.64
  5. Step 5: Solve for x
    x = 4,389,946.64/2,085.47
  6. Step 6: Final answer
    x = 2,105.02

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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.