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Finding the Fourth Proportional to 1,547.49, 2,322.14 and 623.13

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Solution

The fourth proportional to 1,547.49, 2,322.14 and 623.13 is: 935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.49 : 2,322.14 = 623.13 : x
  2. Step 2: Convert to fraction form
    1,547.49/2,322.14 = 623.13/x
  3. Step 3: Cross multiply
    1,547.49x = 2,322.14 × 623.13
  4. Step 4: Simplify right side
    1,547.49x = 1,446,991.98
  5. Step 5: Solve for x
    x = 1,446,991.98/1,547.49
  6. Step 6: Final answer
    x = 935.06

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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.