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Finding the Fourth Proportional to 1,547.30, 2,316.90 and 1,134.20

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Solution

The fourth proportional to 1,547.30, 2,316.90 and 1,134.20 is: 1,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.30 : 2,316.90 = 1,134.20 : x
  2. Step 2: Convert to fraction form
    1,547.30/2,316.90 = 1,134.20/x
  3. Step 3: Cross multiply
    1,547.30x = 2,316.90 × 1,134.20
  4. Step 4: Simplify right side
    1,547.30x = 2,627,827.98
  5. Step 5: Solve for x
    x = 2,627,827.98/1,547.30
  6. Step 6: Final answer
    x = 1,698.33

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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.