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Finding the Fourth Proportional to 1,417.85, 2,124.61 and 595.67

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Solution

The fourth proportional to 1,417.85, 2,124.61 and 595.67 is: 892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.85 : 2,124.61 = 595.67 : x
  2. Step 2: Convert to fraction form
    1,417.85/2,124.61 = 595.67/x
  3. Step 3: Cross multiply
    1,417.85x = 2,124.61 × 595.67
  4. Step 4: Simplify right side
    1,417.85x = 1,265,566.28
  5. Step 5: Solve for x
    x = 1,265,566.28/1,417.85
  6. Step 6: Final answer
    x = 892.60

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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.