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Finding the Fourth Proportional to 1,780.53, 2,457.02 and 983.86

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Solution

The fourth proportional to 1,780.53, 2,457.02 and 983.86 is: 1,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.53 : 2,457.02 = 983.86 : x
  2. Step 2: Convert to fraction form
    1,780.53/2,457.02 = 983.86/x
  3. Step 3: Cross multiply
    1,780.53x = 2,457.02 × 983.86
  4. Step 4: Simplify right side
    1,780.53x = 2,417,368.30
  5. Step 5: Solve for x
    x = 2,417,368.30/1,780.53
  6. Step 6: Final answer
    x = 1,357.67

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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.