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Finding the Fourth Proportional to 1,756.69, 2,423.24 and 1,158.57

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Solution

The fourth proportional to 1,756.69, 2,423.24 and 1,158.57 is: 1,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.69 : 2,423.24 = 1,158.57 : x
  2. Step 2: Convert to fraction form
    1,756.69/2,423.24 = 1,158.57/x
  3. Step 3: Cross multiply
    1,756.69x = 2,423.24 × 1,158.57
  4. Step 4: Simplify right side
    1,756.69x = 2,807,491.72
  5. Step 5: Solve for x
    x = 2,807,491.72/1,756.69
  6. Step 6: Final answer
    x = 1,598.17

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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.