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Finding the Fourth Proportional to 1,562.02, 2,341.88 and 945.58

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Solution

The fourth proportional to 1,562.02, 2,341.88 and 945.58 is: 1,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.02 : 2,341.88 = 945.58 : x
  2. Step 2: Convert to fraction form
    1,562.02/2,341.88 = 945.58/x
  3. Step 3: Cross multiply
    1,562.02x = 2,341.88 × 945.58
  4. Step 4: Simplify right side
    1,562.02x = 2,214,434.27
  5. Step 5: Solve for x
    x = 2,214,434.27/1,562.02
  6. Step 6: Final answer
    x = 1,417.67

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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.