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Finding the Fourth Proportional to 1,547.03, 2,317.80 and 817.13

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Solution

The fourth proportional to 1,547.03, 2,317.80 and 817.13 is: 1,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.03 : 2,317.80 = 817.13 : x
  2. Step 2: Convert to fraction form
    1,547.03/2,317.80 = 817.13/x
  3. Step 3: Cross multiply
    1,547.03x = 2,317.80 × 817.13
  4. Step 4: Simplify right side
    1,547.03x = 1,893,943.91
  5. Step 5: Solve for x
    x = 1,893,943.91/1,547.03
  6. Step 6: Final answer
    x = 1,224.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.