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Finding the Fourth Proportional to 1,547.11, 2,320.67 and 451.45

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Solution

The fourth proportional to 1,547.11, 2,320.67 and 451.45 is: 677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.11 : 2,320.67 = 451.45 : x
  2. Step 2: Convert to fraction form
    1,547.11/2,320.67 = 451.45/x
  3. Step 3: Cross multiply
    1,547.11x = 2,320.67 × 451.45
  4. Step 4: Simplify right side
    1,547.11x = 1,047,666.47
  5. Step 5: Solve for x
    x = 1,047,666.47/1,547.11
  6. Step 6: Final answer
    x = 677.18

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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.