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Finding the Fourth Proportional to 1,184.16, 1,776.96 and 1,031.28

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Solution

The fourth proportional to 1,184.16, 1,776.96 and 1,031.28 is: 1,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.16 : 1,776.96 = 1,031.28 : x
  2. Step 2: Convert to fraction form
    1,184.16/1,776.96 = 1,031.28/x
  3. Step 3: Cross multiply
    1,184.16x = 1,776.96 × 1,031.28
  4. Step 4: Simplify right side
    1,184.16x = 1,832,543.31
  5. Step 5: Solve for x
    x = 1,832,543.31/1,184.16
  6. Step 6: Final answer
    x = 1,547.55

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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.