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Finding the Fourth Proportional to 3,032.12, 4,547.68 and 841.07

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Solution

The fourth proportional to 3,032.12, 4,547.68 and 841.07 is: 1,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.12 : 4,547.68 = 841.07 : x
  2. Step 2: Convert to fraction form
    3,032.12/4,547.68 = 841.07/x
  3. Step 3: Cross multiply
    3,032.12x = 4,547.68 × 841.07
  4. Step 4: Simplify right side
    3,032.12x = 3,824,926.48
  5. Step 5: Solve for x
    x = 3,824,926.48/3,032.12
  6. Step 6: Final answer
    x = 1,261.47

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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.