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Finding the Fourth Proportional to 1,595.76, 2,376.30 and 1,590

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Solution

The fourth proportional to 1,595.76, 2,376.30 and 1,590 is: 2,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.76 : 2,376.30 = 1,590 : x
  2. Step 2: Convert to fraction form
    1,595.76/2,376.30 = 1,590/x
  3. Step 3: Cross multiply
    1,595.76x = 2,376.30 × 1,590
  4. Step 4: Simplify right side
    1,595.76x = 3,778,317.00
  5. Step 5: Solve for x
    x = 3,778,317.00/1,595.76
  6. Step 6: Final answer
    x = 2,367.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.