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Finding the Fourth Proportional to 1,744.71, 2,407.68 and 948.03

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Solution

The fourth proportional to 1,744.71, 2,407.68 and 948.03 is: 1,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.71 : 2,407.68 = 948.03 : x
  2. Step 2: Convert to fraction form
    1,744.71/2,407.68 = 948.03/x
  3. Step 3: Cross multiply
    1,744.71x = 2,407.68 × 948.03
  4. Step 4: Simplify right side
    1,744.71x = 2,282,547.40
  5. Step 5: Solve for x
    x = 2,282,547.40/1,744.71
  6. Step 6: Final answer
    x = 1,308.27

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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.