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Finding the Fourth Proportional to 1,719.81, 2,373.38 and 1,056.28

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Solution

The fourth proportional to 1,719.81, 2,373.38 and 1,056.28 is: 1,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.81 : 2,373.38 = 1,056.28 : x
  2. Step 2: Convert to fraction form
    1,719.81/2,373.38 = 1,056.28/x
  3. Step 3: Cross multiply
    1,719.81x = 2,373.38 × 1,056.28
  4. Step 4: Simplify right side
    1,719.81x = 2,506,948.55
  5. Step 5: Solve for x
    x = 2,506,948.55/1,719.81
  6. Step 6: Final answer
    x = 1,457.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.