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Finding the Fourth Proportional to 1,547.43, 2,135.36 and 918.02

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Solution

The fourth proportional to 1,547.43, 2,135.36 and 918.02 is: 1,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.43 : 2,135.36 = 918.02 : x
  2. Step 2: Convert to fraction form
    1,547.43/2,135.36 = 918.02/x
  3. Step 3: Cross multiply
    1,547.43x = 2,135.36 × 918.02
  4. Step 4: Simplify right side
    1,547.43x = 1,960,292.51
  5. Step 5: Solve for x
    x = 1,960,292.51/1,547.43
  6. Step 6: Final answer
    x = 1,266.81

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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.