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Finding the Fourth Proportional to 1,547.95, 2,136.27 and 1,023.07

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Solution

The fourth proportional to 1,547.95, 2,136.27 and 1,023.07 is: 1,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.95 : 2,136.27 = 1,023.07 : x
  2. Step 2: Convert to fraction form
    1,547.95/2,136.27 = 1,023.07/x
  3. Step 3: Cross multiply
    1,547.95x = 2,136.27 × 1,023.07
  4. Step 4: Simplify right side
    1,547.95x = 2,185,553.75
  5. Step 5: Solve for x
    x = 2,185,553.75/1,547.95
  6. Step 6: Final answer
    x = 1,411.90

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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.