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Finding the Fourth Proportional to 2,001.90, 2,762.84 and 1,503.68

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Solution

The fourth proportional to 2,001.90, 2,762.84 and 1,503.68 is: 2,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.90 : 2,762.84 = 1,503.68 : x
  2. Step 2: Convert to fraction form
    2,001.90/2,762.84 = 1,503.68/x
  3. Step 3: Cross multiply
    2,001.90x = 2,762.84 × 1,503.68
  4. Step 4: Simplify right side
    2,001.90x = 4,154,427.25
  5. Step 5: Solve for x
    x = 4,154,427.25/2,001.90
  6. Step 6: Final answer
    x = 2,075.24

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1.5x scale

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.