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Finding the Fourth Proportional to 4,658, 6,988.08 and 1,580

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Solution

The fourth proportional to 4,658, 6,988.08 and 1,580 is: 2,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658 : 6,988.08 = 1,580 : x
  2. Step 2: Convert to fraction form
    4,658/6,988.08 = 1,580/x
  3. Step 3: Cross multiply
    4,658x = 6,988.08 × 1,580
  4. Step 4: Simplify right side
    4,658x = 11,041,166.40
  5. Step 5: Solve for x
    x = 11,041,166.40/4,658
  6. Step 6: Final answer
    x = 2,370.37

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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.